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5月份数论311篇
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5月份MR题录14097条，其中数论311条，摘录如下。由于对于数学表达式支持不够好，有些比较复杂的公式可能显示出现异常，建议读者浏览http://www.ams.org/mathscinet/
MR2907327 Sahin, Murat; Webb, William Conditional Lucas pseudoprimes. Ars Combin. 103 (2012), 129–136.
MR2876337 Epifanio, C.; Frougny, C.; Gabriele, A.; Mignosi, F.; Shallit, J. Sturmian graphs and integer representations over numeration systems. Discrete Appl. Math. 160 (2012), no. 4-5, 536–547.
MR2876388 Brown, David Primitive integral solutions to x 2 +y 3 =z 10 xsp 2+ysp 3=zsp {10} . Int. Math. Res. Not. IMRN 2012, no. 2, 423–436.
MR2876385 Galateau, Aurélien Petits points des hypersurfaces d'une variété abélienne. (French) [Small points of hypersurfaces of an abelian variety] Int. Math. Res. Not. IMRN 2012, no. 2, 339–359.
MR2907541 Bae, Sunghan; Jung, Hwanyup ℓ ell -ranks of class groups of function fields. J. Korean Math. Soc. 49 (2012), no. 1, 49–67.
MR2876275 Li, Taiyu On sums of squares of primes and a k k th power of prime. Rocky Mountain J. Math. 42 (2012), no. 1, 201–222.
MR2876270 Hambleton, S.; Scharaschkin, V. Pell conics and quadratic reciprocity. Rocky Mountain J. Math. 42 (2012), no. 1, 91–96.
MR2876201 Moody, Dustin; Wu, Hongfeng Families of elliptic curves with rational 3-torsion. J. Math. Cryptol. 5 (2012), no. 3-4, 225–246.
MR2876162 Xu, Shaoji On Euler polynomials and Rabinowitsch polynomials. Int. J. Algebra 6 (2012), no. 1-4, 123–134.
MR2876154 Somboonkulavudi, Cheranoot; Harnchoowong, Ajchara Pythagorean triples over Gaussian integers. Int. J. Algebra 6 (2012), no. 1-4, 55–64.
MR2876133 Shen, Shou-Qiang On the norms of Toeplitz matrices involving k k -Fibonacci and k k -Lucas numbers. Int. J. Contemp. Math. Sci. 7 (2012), no. 5-8, 363–368.
MR2876104 D'Alessandro, Flavio; Intrigila, Benedetto; Varricchio, Stefano Quasi-polynomials, linear Diophantine equations and semi-linear sets. Theoret. Comput. Sci. 416 (2012), 1–16.
MR2875350 Roditty-Gershon, Edva Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves. J. Number Theory 132 (2012), no. 3, 467–484.
MR2875349 Fujita, Yasutsugu; Nara, Tadahisa On the Mordell-Weil group of the elliptic curve y 2 =x 3 +n ysp 2=xsp 3+n . J. Number Theory 132 (2012), no. 3, 448–466.
MR2875348 Seveso, Marco Adamo Congruences and rationality of Stark-Heegner points. J. Number Theory 132 (2012), no. 3, 414–447.
MR2875347 Bzdęga, Bartłomiej Sparse binary cyclotomic polynomials. J. Number Theory 132 (2012), no. 3, 410–413.
MR2875346 Chen, Yong-Gao; Shi, Ying; Wu, Jie Dynamics of Goldring's w w -function. J. Number Theory 132 (2012), no. 3, 390–409.
MR2875345 Xarles, Xavier Squares in arithmetic progression over number fields. J. Number Theory 132 (2012), no. 3, 379–389.
MR2875344 Bannai, Eiichi; Miezaki, Tsuyoshi On a property of 2-dimensional integral Euclidean lattices. J. Number Theory 132 (2012), no. 3, 371–378.
MR2875338 Lau, Irene When do reduced Whitehead groups of Iwasawa algebras vanish? A reduction step. J. Pure Appl. Algebra 216 (2012), no. 5, 1184–1195.
Publications results for "All publications entered last month AND classification = (11)"
MR2873106 Christopoulou, M.; Garefalakis, T.; Panario, D.; Thomson, D. Gauss periods as constructions of low complexity normal bases. Des. Codes Cryptogr. 62 (2012), no. 1, 43–62.
MR2874963 Masser, D.; Zannier, U. Torsion points on families of squares of elliptic curves. Math. Ann. 352 (2012), no. 2, 453–484.
MR2874930 Ganguly, Satadal; Sengupta, Jyoti Sums of Kloosterman sums over arithmetic progressions. Int. Math. Res. Not. IMRN 2012, no. 1, 137–165.
MR2874929 McKee, James; Smyth, Chris Integer symmetric matrices of small spectral radius and small Mahler measure. Int. Math. Res. Not. IMRN 2012, no. 1, 102–136.
MR2874918 Gurevich, Alexander; Kunyavskiĭ, Boris Deterministic primality tests based on tori and elliptic curves. Finite Fields Appl. 18 (2012), no. 1, 222–236.
MR2874916 Zhu, Guizhen; Wan, Daqing An asymptotic formula for counting subset sums over subgroups of finite fields. Finite Fields Appl. 18 (2012), no. 1, 192–209.
MR2874915 Meemark, Yotsanan; Wiroonsri, Nathakhun The digraph of the k k th power mapping of the quotient ring of polynomials over finite fields. Finite Fields Appl. 18 (2012), no. 1, 179–191.
MR2874913 Göloğlu, F. Ternary Kloosterman sums modulo 4. Finite Fields Appl. 18 (2012), no. 1, 160–166.
MR2874909 Stichtenoth, Henning; Topuzoğlu, Alev Factorization of a class of polynomials over finite fields. Finite Fields Appl. 18 (2012), no. 1, 108–122.
MR2874905 Ling, San; Qu, Longjiang A note on linearized polynomials and the dimension of their kernels. Finite Fields Appl. 18 (2012), no. 1, 56–62.
MR2874904 Zhao, Xiaomei A note on multiple exponential sums in function fields. Finite Fields Appl. 18 (2012), no. 1, 35–55.
MR2874903 Lasjaunias, A. On the continued fraction expansion of the unique root in F(p) Bbb F(p) of the equation x 4 +x 2 −Tx−1/12=0 xsp 4+xsp 2-Tx-1/12=0 and other related hyperquadratic expansions. Finite Fields Appl. 18 (2012), no. 1, 26–34.
MR2874902 Bayad, Abdelmejid; Hamahata, Yoshinori Higher dimensional Dedekind sums in finite fields. Finite Fields Appl. 18 (2012), no. 1, 19–25.
MR2874897 Büyükboduk, Kâzim Height pairings, exceptional zeros and Rubin's formula: the multiplicative group. Comment. Math. Helv. 87 (2012), no. 1, 71–111.
MR2874646 Taelman, Lenny Special L L -values of Drinfeld modules. Ann. of Math. (2) 175 (2012), no. 1, 369–391.
MR2874644 de la Bretèche, Régis; Browning, Tim; Peyre, Emmanuel On Manin's conjecture for a family of Châtelet surfaces. Ann. of Math. (2) 175 (2012), no. 1, 297–343.
MR2874641 Beresnevich, Victor Rational points near manifolds and metric Diophantine approximation. Ann. of Math. (2) 175 (2012), no. 1, 187–235.
MR2873803 Fried, Michael D. Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification. Sci. China Math. 55 (2012), no. 1, 1–72.
MR2873092 Wenpeng, Zhang; Tingting, Wang The infinite sum of reciprocal Pell numbers. Appl. Math. Comput. 218 (2012), no. 10, 6164–6167.
MR2873083 Yaşar, Meral; Bozkurt, Durmuş Another proof of Pell identities by using the determinant of tridiagonal matrix. Appl. Math. Comput. 218 (2012), no. 10, 6067–6071.
MR2872923 Gyarmati, Katalin; Mauduit, Christian On the correlation of binary sequences, II. Discrete Math. 312 (2012), no. 5, 811–818.
MR2872554 Pierce, Lillian B. Discrete fractional Radon transforms and quadratic forms. Duke Math. J. 161 (2012), no. 1, 69–106.
MR2872485 Alexandru, V.; Popescu, N.; Vâjâitu, M.; Zaharescu, A. Representation results for equivariant rigid analytic functions. Algebr. Represent. Theory 15 (2012), no. 1, 137–145.
MR2872465 Griffiths, Martin Families of sequences from a class of multinomial sums. J. Integer Seq. 15 (2012), no. 1, Article 12.1.8, 10 pp.
MR2872464 Boyadzhiev, Khristo N. Series with central binomial coefficients, Catalan numbers, and harmonic numbers. J. Integer Seq. 15 (2012), no. 1, Article 12.1.7, 11 pp.
MR2872463 Coons, Michael; Vrbik, Paul An irrationality measure for regular paperfolding numbers. J. Integer Seq. 15 (2012), no. 1, Article 12.1.6, 10 pp.
MR2872461 Keskin, Refik; Karaatlı, Olcay Some new properties of balancing numbers and square triangular numbers. J. Integer Seq. 15 (2012), no. 1, Article 12.1.4, 13 pp.
MR2872460 Kamano, Ken Sums of products of poly-Bernoulli numbers of negative index. J. Integer Seq. 15 (2012), no. 1, Article 12.1.3, 8 pp.
MR2872457 Belbachir, Hacène; Rahmani, Mourad; Sury, B. Alternating sums of the reciprocals of binomial coefficients. J. Integer Seq. 15 (2012), no. 2, Article 12.2.8, 16 pp.
MR2872456 Pita Ruiz Velasco, Claudio de Jesús A note on Fibonacci & Lucas and Bernoulli & Euler polynomials. J. Integer Seq. 15 (2012), no. 2, Article 12.2.7, 17 pp.
MR2872454 MacLeod, Allan J. Rational distance sets on xy=1
. J. Integer Seq. 15 (2012), no. 2, Article 12.2.5, 8 pp.
MR2872453 Mező, István The dual of Spivey's Bell number formula. J. Integer Seq. 15 (2012), no. 2, Article 12.2.4, 5 pp.
MR2872451 Harman, Glyn Counting primes whose sum of digits is prime. J. Integer Seq. 15 (2012), no. 2, Article 12.2.2, 7 pp.
MR2872450 Fahr, Philipp; Ringel, Claus Michael Categorification of the Fibonacci numbers using representations of quivers. J. Integer Seq. 15 (2012), no. 2, Article 12.2.1, 12 pp.
MR2872314 Kim, T.; Choi, J. On the q -Euler numbers and polynomials with weight 0. Abstr. Appl. Anal. 2012, Art. ID 795304, 7 pp.
MR2864393 Peyre, Emmanuel Points de hauteur bornée sur les variétés de drapeaux en caractéristique finie. (French) [Points of bounded height on flag varieties of finite characteristic] Acta Arith. 152 (2012), no. 2, 185–216.
MR2864392 Kikuta, Toshiyuki On p -adic Siegel modular forms of non-real Nebentypus. Acta Arith. 152 (2012), no. 2, 175–183.
MR2864391 Arai, Keisuke; Momose, Fumiyuki Points on X+0(N) over quadratic fields. Acta Arith. 152 (2012), no. 2, 159–173.
MR2864390 Liu, Huaning; Zhai, Wenguang The equation n1n2=n3n4 , the gcd-sum function and the mean values of certain character sums. Acta Arith. 152 (2012), no. 2, 137–157.
MR2864389 Katsurada, Masanori Complete asymptotic expansions for certain multiple q -integrals and q -differentials of Thomae-Jackson type. Acta Arith. 152 (2012), no. 2, 109–136.
MR2789663 Ralph, Claire C.; Simanca, Santiago R. Arithmetic differential operators over the p -adic integers. London Mathematical Society Lecture Note Series, 396. Cambridge University Press, Cambridge, 2012. vi+139 pp. ISBN: 978-1-107-67414-1
MR2896582 Le Gonidec, Marion On the complexity of a family of k -context-free sequences. Theoret. Comput. Sci. 414 (2012), 47–54.
MR2872210 Ichimura, Humio; Nakajima, Shoichi A note on the relative class number of the cyclotomic Zp -extension of Q(−p−−−?) . Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 1, 16–20.
MR2872209 Choi, Soyoung p -adic properties of coefficients of basis for the space of weakly holomorphic modular forms of weight 2. Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 1, 11–15.
MR2871754 Aschenbrenner, Matthias Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine. J. Combin. Theory Ser. A 119 (2012), no. 3, 627–654.
MR2871150 Folsom, Amanda; Kent, Zachary A.; Ono, Ken ℓ -adic properties of the partition function. Appendix A by Nick Ramsey. Adv. Math. 229 (2012), no. 3, 1586–1609.
MR2869141 Hoffman, Jerome William; Long, Ling; Verrill, Helena On ℓ -adic representations for a space of noncongruence cuspforms. Proc. Amer. Math. Soc. 140 (2012), no. 5, 1569–1584.
MR2869136 Pal, Vivek Periods of quadratic twists of elliptic curves. With an appendix by Amod Agashe. Proc. Amer. Math. Soc. 140 (2012), no. 5, 1513–1525.
MR2869135 Brussel, Eric Fixed points of the p -adic q -bracket. Proc. Amer. Math. Soc. 140 (2012), no. 5, 1501–1511.
MR2905431 Morishita, Masanori Knots and primes. An introduction to arithmetic topology. Universitext. Springer, London, 2012. xii+191 pp. ISBN: 978-1-4471-2157-2
MR2869202 Gonek, S. M. Finite Euler products and the Riemann hypothesis. Trans. Amer. Math. Soc. 364 (2012), no. 4, 2157–2191.
MR2869201 Akhtari, Shabnam Representation of unity by binary forms. Trans. Amer. Math. Soc. 364 (2012), no. 4, 2129–2155.
MR2869105 Shparlinski, Igor E. On the value set of Fermat quotients. Proc. Amer. Math. Soc. 140 (2012), no. 4, 1199–1206.
MR2869098 Kohnen, Winfried; Mason, Geoffrey On the canonical decomposition of generalized modular functions. Proc. Amer. Math. Soc. 140 (2012), no. 4, 1125–1132.
MR2869321 Couveignes, Jean-Marc; Kammerer, Jean-Gabriel The geometry of flex tangents to a cubic curve and its parameterizations. J. Symbolic Comput. 47 (2012), no. 3, 266–281.
MR2869212 Strömbergsson, Andreas On the limit distribution of Frobenius numbers. Acta Arith. 152 (2012), no. 1, 81–107.
MR2869211 Bayad, Abdelmejid; Hamahata, Yoshinori Higher dimensional Dedekind sums in function fields. Acta Arith. 152 (2012), no. 1, 71–80.
MR2869210 de Jong, Robin Local heights on Galois covers of the projective line. Acta Arith. 152 (2012), no. 1, 51–70.
MR2869209 Schoof, René; Tzanakis, Nikos Integral points of a modular curve of level 11. Acta Arith. 152 (2012), no. 1, 39–49.
MR2869208 Chang, Mei-Chu Short character sums with Fermat quotients. Acta Arith. 152 (2012), no. 1, 23–38.
MR2869207 Ito, Hiroshi A note on a product formula for the cubic Gauss sum. Acta Arith. 152 (2012), no. 1, 11–21.
MR2869206 Chan, T. H.; Kumchev, A. V. On sums of Ramanujan sums. Acta Arith. 152 (2012), no. 1, 1–10.
MR2869064 Languasco, Alessandro; Zaccagnini, Alessandro The number of Goldbach representations of an integer. Proc. Amer. Math. Soc. 140 (2012), no. 3, 795–804.
MR2869060 Fukuyama, Katusi; Watada, Tetsujin A metric discrepancy result for lacunary sequences. Proc. Amer. Math. Soc. 140 (2012), no. 3, 749–754.
MR2869058 Tao, Terence; Croot, Ernest, III; Helfgott, Harald Deterministic methods to find primes. Math. Comp. 81 (2012), no. 278, 1233–1246.
MR2869057 Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. Modular polynomials via isogeny volcanoes. Math. Comp. 81 (2012), no. 278, 1201–1231.
MR2869056 Loeffler, David; Weinstein, Jared On the computation of local components of a newform. Math. Comp. 81 (2012), no. 278, 1179–1200.
MR2869053 Sutherland, Andrew V. Constructing elliptic curves over finite fields with prescribed torsion. Math. Comp. 81 (2012), no. 278, 1131–1147.
MR2869052 Heijne, Bas The maximal rank of elliptic Delsarte surfaces. Math. Comp. 81 (2012), no. 278, 1111–1130.
MR2869051 Jiménez Urroz, Jorge; Luca, Florian; Shparlinski, Igor E. On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves. Math. Comp. 81 (2012), no. 278, 1093–1110.
MR2869050 Keller, Wolfgang; Martinet, Jacques; Schürmann, Achill On classifying Minkowskian sublattices. With an appendix by Mathieu Dutour Sikirić. Math. Comp. 81 (2012), no. 278, 1063–1092.
MR2869049 Trudgian, Timothy An improved upper bound for the argument of the Riemann zeta-function on the critical line. Math. Comp. 81 (2012), no. 278, 1053–1061.
MR2869048 Berkane, D.; Bordellès, O.; Ramaré, O. Explicit upper bounds for the remainder term in the divisor problem. Math. Comp. 81 (2012), no. 278, 1025–1051.
MR2869047 Chen, William Y. C.; Fan, Neil J. Y.; Jia, Jeffrey Y. T. The generating function for the Dirichlet series Lm(s) . Math. Comp. 81 (2012), no. 278, 1005–1023.
MR2869028 Bateman, Michael; Katz, Nets Hawk New bounds on cap sets. J. Amer. Math. Soc. 25 (2012), no. 2, 585–613.
MR2869026 Calegari, Frank Even Galois representations and the Fontaine–Mazur conjecture. II. J. Amer. Math. Soc. 25 (2012), no. 2, 533–554.
MR2869024 Miller, Stephen D.; Schmid, Wilfried The Archimedean theory of the exterior square L -functions over Q . J. Amer. Math. Soc. 25 (2012), no. 2, 465–506.
MR2869007 Scanlon, Thomas Counting special points: Logic, diophantine geometry, and transcendence theory. Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 51–71.
MR2869006 Nadler, David The geometric nature of the fundamental lemma. Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 1–50.
MR2864867 Enriquez, Benjamin; Furusho, Hidekazu Mixed pentagon, octagon, and Broadhurst duality equations. J. Pure Appl. Algebra 216 (2012), no. 4, 982–995.
MR2862374 Hindry, Marc; Ratazzi, Nicolas Points de torsion sur les variétés abéliennes de type GSp. (French) [Torsion points on abelian varieties of type GSp] J. Inst. Math. Jussieu 11 (2012), no. 1, 27–65.
MR2864426 Lladó, Anna; Moragas, Jordi On the modular sumset partition problem. European J. Combin. 33 (2012), no. 4, 427–434.
MR2863812 Cai, Y.-C.; Lu, M.-G. On the slim exceptional set for the Lagrange four squares theorem. Acta Math. Hungar. 134 (2012), no. 1-2, 115–131.
MR2863809 Huang, J. A mean value theorem for the Diophantine equation axy−x−y=n . Acta Math. Hungar. 134 (2012), no. 1-2, 68–78.
MR2863805 Nowak, W. G. Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method. Acta Math. Hungar. 134 (2012), no. 1-2, 12–28.
MR2863752 García-Selfa, Irene; Tornero, José M. A complete Diophantine characterization of the rational torsion of an elliptic curve. Acta Math. Sin. (Engl. Ser.) 28 (2012), no. 1, 83–96.
MR2861775 Fukuhara, Shinji A basis for the space of modular forms. Acta Arith. 151 (2012), no. 4, 421–427.
MR2861774 Saradha, N. Application of the explicit abc -conjecture to two Diophantine equations. Acta Arith. 151 (2012), no. 4, 401–419.
MR2861773 Lee, Siu-lun Alan On Waring's problem: two cubes and two minicubes. Acta Arith. 151 (2012), no. 4, 377–399.
MR2861772 Bedratyuk, Leonid Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials. Acta Arith. 151 (2012), no. 4, 361–376.
MR2861771 Bae, Sunghan; Jung, Hwanyup On the 4-rank of ideal class groups of quadratic function fields. Acta Arith. 151 (2012), no. 4, 325–360.
MR2895235 Aurich, Ralf; Steiner, Frank; Then, Holger Numerical computation of Maass waveforms and an application to cosmology. Hyperbolic geometry and applications in quantum chaos and cosmology, 229–269, London Math. Soc. Lecture Note Ser., 397, Cambridge Univ. Press, Cambridge, 2012.
MR2895234 Strömberg, Fredrik Maass waveforms on (Γ0(N),χ) (computational aspects). Hyperbolic geometry and applications in quantum chaos and cosmology, 187–228, London Math. Soc. Lecture Note Ser., 397, Cambridge Univ. Press, Cambridge, 2012.
MR2895233 Hejhal, Dennis A. On the calculation of Maass cusp forms. Hyperbolic geometry and applications in quantum chaos and cosmology, 175–185, London Math. Soc. Lecture Note Ser., 397, Cambridge Univ. Press, Cambridge, 2012.
MR2885182 Marklof, Jens Selberg's trace formula: an introduction. Hyperbolic geometry and applications in quantum chaos and cosmology, 83–119, London Math. Soc. Lecture Note Ser., 397, Cambridge Univ. Press, Cambridge, 2012.
MR2864372 Erdélyi, Tamás; Khodjasteh, Kaveh; Viola, Lorenza The size of exponential sums on intervals of the real line. Constr. Approx. 35 (2012), no. 1, 123–136.
MR2863489 Eliahou, S.; Marín, J. M.; Revuelta, M. P.; Sanz, M. I. Weak Schur numbers and the search for G. W. Walker's lost partitions. Comput. Math. Appl. 63 (2012), no. 1, 175–182.
MR2863474 Yazlik, Yasin; Taskara, Necati A note on generalized k -Horadam sequence. Comput. Math. Appl. 63 (2012), no. 1, 36–41.
MR2894271 Watkins, Mark Computing with Hecke Grössencharacters. Actes de la Conférence "Théorie des Nombres et Applications'', 119–135, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894270 Ritzenthaler, Christophe Optimal curves of genus 1, 2 and 3. Actes de la Conférence "Théorie des Nombres et Applications'', 99–117, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894269 Mohyla, Marcel; Wiese, Gabor A computational study of the asymptotic behaviour of coefficient fields of modular forms. Actes de la Conférence "Théorie des Nombres et Applications'', 75–98, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894268 Lebacque, Philippe; Zykin, Alexey Asymptotic methods in number theory and algebraic geometry. Actes de la Conférence "Théorie des Nombres et Applications'', 47–73, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894267 Conrey, Brian Applications of the asymptotic large sieve. Actes de la Conférence "Théorie des Nombres et Applications'', 37–46, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894266 Bruin, Peter Computing coefficients of modular forms. Actes de la Conférence "Théorie des Nombres et Applications'', 19–36, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894265 Ballet, Stéphane; Rolland, Robert Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound. Actes de la Conférence "Théorie des Nombres et Applications'', 5–18, Publ. Math. Besançon Algèbre Théorie Nr., Presses Univ. Franche-Comté, Besançon, 2011.
MR2894264 Actes de la Conférence "Théorie des Nombres et Applications''. [Proceedings of the Conference "Number Theory and Applications''] Held in Luminy, November 30–December 4, 2009. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres. [Mathematical Publications of Besançon, Algebra and Number Theory] Presses Universitaires de Franche-Comté, Besançon, 2011. 135 pp.
MR2885344 Kowalski, Emmanuel A survey of algebraic exponential sums and some applications. Motivic integration and its interactions with model theory and non-Archimedean geometry. Volume II, 178–201, London Math. Soc. Lecture Note Ser., 384, Cambridge Univ. Press, Cambridge, 2011.
MR2872828 Wei, Yangjiang; Tang, Gaohua; Su, Huadong The commuting graphs of some subsets in the quaternion algebra over the ring of integers modulo N . Indian J. Pure Appl. Math. 42 (2011), no. 5, 387–402.
MR2872827 Boyadzhiev, Khristo N. Series transformation formulas of Euler type, Hadamard product of series, and harmonic number identities. Indian J. Pure Appl. Math. 42 (2011), no. 5, 371–386.
MR2872824 Hans-Gill, R. J.; Raka, Madhu; Sehmi, Ranjeet Estimates on conjectures of Minkowski and Woods II. Indian J. Pure Appl. Math. 42 (2011), no. 5, 307–333.
MR2906892 Sun, Zong Ming Binomial equations, three-term equations and factor equations over the field of pk elements and its simple transcendental extension field. (Chinese) J. Inn. Mong. Norm. Univ. Nat. Sci. 40 (2011), no. 6, 541–546.
MR2906349 Emerton, Matthew p -adic families of modular forms (after Hida, Coleman, and Mazur). Séminaire Bourbaki. Vol. 2009/2010. Exposés 1012–1026. Astérisque No. 339 (2011), Exp. No. 1013, vii, 31–61. ISBN: 978-2-85629-326-3
MR2876198 Amos, Jeffrey; Pascu, Iuliana; Ponomarenko, Vadim; Treviño, Enrique; Zhang, Yan The multidimensional Frobenius problem. Involve 4 (2011), no. 2, 187–197.
MR2876193 Mudrock, Jeffrey An observation on generating functions with an application to a sum of secant powers. Involve 4 (2011), no. 2, 117–125.
MR2906601 Chen, Chao-Ping; Mortici, Cristinel Sharp form of inequality for the constant e . Carpathian J. Math. 27 (2011), no. 2, 185–191.
MR2876112 Honkala, Juha The cyclicity problem for the images of Q -rational series. RAIRO Theor. Inform. Appl. 45 (2011), no. 4, 375–381.
MR2875872 Rhoades, Robert C.; Waldherr, Matthias A Maass lifting of Θ3 and class numbers of real and imaginary quadratic fields. Math. Res. Lett. 18 (2011), no. 5, 1001–1012.
MR2875870 Loeffler, David Density of classical points in eigenvarieties. Math. Res. Lett. 18 (2011), no. 5, 983–990.
MR2875862 Lan, Kai-Wen Elevators for degenerations of PEL structures. Math. Res. Lett. 18 (2011), no. 5, 889–907.
MR2907208 Li, Cheng Ju; Yue, Qin Prime ideal decomposition of prime p in the number field Q(u?l,v?l) . (Chinese) Chinese Ann. Math. Ser. A 32 (2011), no. 5, 593–598.
MR2895957 Shukla, D. P.; Pandey, Shikha On unitary analogue of fg -perfect numbers and Ψs -perfect numbers. Comment. Math. 51 (2011), no. 2, 141–153.
MR2869518 Baginski, Paul; Chapman, Scott T. Factorizations of algebraic integers, block monoids, and additive number theory. Amer. Math. Monthly 118 (2011), no. 10, 901–920.
MR2906593 Sun, Mao Rong; Chen, Shao Shi Extension of Duthe's conclusion. (Chinese) J. Anhui Univ. Nat. Sci. 35 (2011), no. 5, 32–36.
MR2895221 Moody, Dustin Division polynomials for Jacobi quartic curves. ISSAC 2011—Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, 265–272, ACM, New York, 2011.
MR2895193 Borwein, Jonathan M.; Straub, Armin Special values of generalized log-sine integrals. ISSAC 2011—Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, 43–50, ACM, New York, 2011.
MR2875599 Zhong, Yuanming; Tan, Qianrong Notes on a curious arithmetic function. Asian-Eur. J. Math. 4 (2011), no. 4, 705–714.
MR2906571 Fucci, Guglielmo On the Hurwitz zeta function of imaginary second argument. J. Math. Phys. 52 (2011), no. 11, 113501, 15 pp.
MR2873221 Cochrane, Todd; Konyagin, Sergei Proof of the Goresky Klapper conjecture on decimations of L -sequences. SIAM J. Discrete Math. 25 (2011), no. 4, 1812–1831.
MR2907222 Ramakrishnan, Suja; Sen, Syamal K. Scope of conventional prime testing against polynomial-time AKS algorithms: Matlab codes. Neural Parallel Sci. Comput. 19 (2011), no. 3-4, 331–343.
MR2907221 Konigsberg, Zvi Retchkiman Generator algorithms for prime k -tuples using binomial expressions. Neural Parallel Sci. Comput. 19 (2011), no. 3-4, 323–330.
MR2907219 Lee, H. Y.; Jung, N. S.; Ryoo, C. S. A numerical investigation of the roots of the second kind λ -Bernoulli polynomials. Neural Parallel Sci. Comput. 19 (2011), no. 3-4, 295–306.
MR2883634 Väänänen, Jouko Tennenbaum's proof of the irrationality of 2? . Set theory, arithmetic, and foundations of mathematics: theorems, philosophies, 226–227, Lect. Notes Log., 36, Assoc. Symbol. Logic, La Jolla, CA, 2011.
MR2860764 Kátai, Imre A proof of the generalized second-limit theorem in the theory of probability. Comm. Statist. Theory Methods 40 (2011), no. 19-20, 3654–3662.
MR2910216 Ichihara, Yumiko The first moment of L -functions of primitive forms on Γ0(pα) and a basis of old forms. J. Number Theory 131 (2011), no. 2, 343–362.
MR2910215 Xue, Jiangwei Endomorphism algebras of Jacobians of certain superelliptic curves. J. Number Theory 131 (2011), no. 2, 332–342.
MR2882750 Arithmetic of L -functions. Lectures from the Graduate Summer School held in Park City, UT, June 29–July 17, 2009. Edited by Cristian Popescu, Karl Rubin and Alice Silverberg. IAS/Park City Mathematics Series, 18. American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 2011. xiv+499 pp. ISBN: 978-0-8218-5320-7
MR2882697 Rubin, Karl Euler systems and Kolyvagin systems. Arithmetic of L -functions, 449–499, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882696 Rohrlich, David E. Root numbers. Arithmetic of L -functions, 353–448, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882695 Kings, Guido The equivariant Tamagawa number conjecture and the Birch-Swinnerton-Dyer conjecture. Arithmetic of L -functions, 315–349, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882694 Vatsal, Vinayak Complex multiplication: a concise introduction. Arithmetic of L -functions, 293–314, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882693 Birch, Bryan Heegner's proof. Arithmetic of L -functions, 281–291, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882692 Ulmer, Douglas Elliptic curves over function fields. Arithmetic of L -functions, 211–280, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882691 Gross, Benedict H. Lectures on the conjecture of Birch and Swinnerton-Dyer. Arithmetic of L -functions, 169–209, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882690 Silverberg, Alice Introduction to elliptic curves. Arithmetic of L -functions, 155–167, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882689 Burns, David An introduction to the equivariant Tamagawa number conjecture: the relation to Stark's conjecture. Arithmetic of L -functions, 125–152, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882688 Kolster, Manfred Special values of L -functions at negative integers. Arithmetic of L -functions, 103–124, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882687 Popescu, Cristian D. Integral and p -adic refinements of the abelian Stark conjecture. Arithmetic of L -functions, 45–101, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882686 Stark, Harold The origin of the "Stark conjectures''. Arithmetic of L -functions, 33–44, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882685 Tate, John Stark's basic conjecture. Arithmetic of L -functions, 7–31, IAS/Park City Math. Ser., 18, Amer. Math. Soc., Providence, RI, 2011.
MR2882581 Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi A survey on the theory of multiple Bernoulli polynomials and multiple L -functions of root systems. Infinite analysis 2010—Developments in quantum integrable systems, 99–120, RIMS Kôkyûroku Bessatsu, B28, Res. Inst. Math. Sci. (RIMS), Kyoto, 2011.
MR2873155 Kim, Min-Soo; Hu, Su A p -adic view of multiple sums of powers. Int. J. Number Theory 7 (2011), no. 8, 2273–2288.
MR2873154 Graves, Hester Q(2?,35−−?) has a non-principal Euclidean ideal. Int. J. Number Theory 7 (2011), no. 8, 2269–2271.
MR2873153 El Bachraoui, Mohamed Inductive formulas for some arithmetic functions. Int. J. Number Theory 7 (2011), no. 8, 2261–2268.
MR2873152 Radu, Silviu; Sellers, James A. Congruence properties modulo 5 and 7 for the pod function. Int. J. Number Theory 7 (2011), no. 8, 2249–2259.
MR2873151 Rolen, Larry A generalization of the congruent number problem. Int. J. Number Theory 7 (2011), no. 8, 2237–2247.
MR2873150 Harvey, M. P. Cubic Diophantine inequalities involving a norm form. Int. J. Number Theory 7 (2011), no. 8, 2219–2235.
MR2873149 Smith, Ethan A variant of the Barban-Davenport-Halberstam theorem. Int. J. Number Theory 7 (2011), no. 8, 2203–2218.
MR2873148 Jabuka, Stanislav; Robins, Sinai; Wang, Xinli When are two Dedekind sums equal? Int. J. Number Theory 7 (2011), no. 8, 2197–2202.
MR2873147 Vega, M. Valentina Hypergeometric functions over finite fields and their relations to algebraic curves. Int. J. Number Theory 7 (2011), no. 8, 2171–2195.
MR2873146 Habsieger, Laurent; Royer, Emmanuel Spiegelungssatz: a combinatorial proof for the 4-rank. Int. J. Number Theory 7 (2011), no. 8, 2157–2170.
MR2873145 Lebacque, Philippe; Zykin, Alexey On logarithmic derivatives of zeta functions in families of global fields. Int. J. Number Theory 7 (2011), no. 8, 2139–2156.
MR2873143 Yu, Chia-Fu On the existence of maximal orders. Int. J. Number Theory 7 (2011), no. 8, 2091–2114.
MR2873142 Bremner, Andrew; Ulas, Maciej On xa±yb±zc±wd=0, 1/a+1/b+1/c+1/d=1 . Int. J. Number Theory 7 (2011), no. 8, 2081–2090.
MR2873141 Pande, Aftab Deformations of Galois representations and the theorems of Sato-Tate and Lang-Trotter. Int. J. Number Theory 7 (2011), no. 8, 2065–2079.
MR2873140 Haessig, C. Douglas; Rojas-León, Antonio L -functions of symmetric powers of the generalized Airy family of exponential sums. Int. J. Number Theory 7 (2011), no. 8, 2019–2064.
MR2873139 Nathanson, Melvyn B. Problems in additive number theory, IV: Nets in groups and shortest length g -adic representations. Int. J. Number Theory 7 (2011), no. 8, 1999–2017.
MR2873138 Merilä, Ville A nonvanishing lemma for certain Padé approximations of the second kind. Int. J. Number Theory 7 (2011), no. 8, 1977–1997.
MR2850441 Zhu, Yu Yang Some results on odd perfect numbers. (Chinese) Adv. Math. (China) 40 (2011), no. 5, 595–598.
MR2850436 Wang, Jia; Zhai, Wenguang Mean-square value of the error term on the three-dimensional divisor problem of (a,a,b) type. Adv. Math. (China) 40 (2011), no. 5, 549–566.
MR2906510 Dubickas, Artūras An extended lemma of Dobrowolski and Smyth's congruence. Acta Sci. Math. (Szeged) 77 (2011), no. 3-4, 403–408.
MR2872959 André, Yves On nef and semistable Hermitian lattices, and their behaviour under tensor product. Tohoku Math. J. (2) 63 (2011), no. 4, 629–649.
MR2872192 Zékiri, Abdelmoumène; Bencherif, Farid A new recursion relationship for Bernoulli numbers. Ann. Math. Inform. 38 (2011), 123–126.
MR2872190 Moody, Dustin Arithmetic progressions on Huff curves. Ann. Math. Inform. 38 (2011), 111–116.
MR2872188 Mátyás, Ferenc; Szalay, László A note on Tribonacci-coefficient polynomials. Ann. Math. Inform. 38 (2011), 95–98.
MR2872157 Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel Conductor-discriminant formula for global function fields. Int. J. Algebra 5 (2011), no. 29-32, 1557–1565.
MR2872144 Alizadeh, Mahmood; Abrahamyan, Sergey; Mehrabi, Saeid; Kuyregyan, Melsik K. Constructing N-polynomials over finite fields. Int. J. Algebra 5 (2011), no. 29-32, 1437–1442.
MR2870176 Glazman, A. L.; Zatitski, P. B.; Sivatski, A. S.; Stolyarov, D. M. Forms of higher degree over certain fields. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 394 (2011), Voprosy Teorii Predstavlenii Algebr i Grupp. 22, 209–217, 296.
MR2906485 Choi, Jongsung; Kim, Taekyun; Kim, Young-Hee A note on the q -analogues of Euler numbers and polynomials. Honam Math. J. 33 (2011), no. 4, 529–534.
MR2906484 Dolgy, D. V.; Kim, T. A note on the weighted q -Bernoulli numbers and the weighted q -Bernstein polynomials. Honam Math. J. 33 (2011), no. 4, 519–527.
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