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关于美国《数学评论》(MR)数据库题录最新信息,已经连续报道有几年了,2013年1-7月的逐月统计结果已有报道,今天介绍MR数据库2013年8月份收录情况,新增题录10907条,其中数论研究269条,摘录其中部分列入以下(可能有些信息无法正确显示,可以浏览附件PDF文件),更多信息请浏览附件(MR2013-08-269 for Number Theory.pdf)。
MR3086176 Halter-Koch, Franz
Quadratic irrationals. An introduction to classical number theory. Pure and Applied Mathematics (Boca Raton).
CRC Press, Boca Raton, FL, 2013. xvi+415 pp. ISBN: 978-1-4665-9183-7
MR3086163 Belbachir, Hacène; Rahmani, Mourad
On Gessel-Kaneko's identity for Bernoulli numbers. With an appendix by Ira M. Gessel.
Appl. Anal. Discrete Math. 7 (2013), no. 1, 1–10.
MR3061084 Jeong, Sangtae; Li, Chunlan
Remarks on Fermat quotient operators over function fields.
Finite Fields Appl. 23 (2013), 60–68.
MR3061083 Chamizo, Fernando; Jiménez-Urroz, Jorge
Irreducibility and the distribution of some exponential sums.
Finite Fields Appl.23 (2013), 53–59.
MR3061031 Bell, Jordan
Estimates for the norms of products of sines and cosines.
J. Math. Anal. Appl. 405 (2013), no. 2, 530–545.
MR3060874 Kane, Daniel M.
An asymptotic for the number of solutions to linear equations in prime numbers from specified Chebotarev classes.
Int. J. Number Theory 9 (2013), no. 4, 1073–1111.
MR3060873 Toh, Pee Choon
On representations by figurate numbers: a uniform approach to the conjectures of Melham. Int. J. Number Theory 9 (2013), no. 4, 1055–1071.
MR3060872 Bui, H. M.
Twists of automorphic L-functions at the central point.L-functions at the central point.
Int. J. Number Theory 9 (2013), no. 4, 1015–1053.
MR3060870 Sun, Zhi-Hong
Congruences concerning Legendre polynomials III.
Int. J. Number Theory 9 (2013), no. 4, 965–999.
MR3060869 Garunkštis, Ramūnas; Kalpokas, Justas
The discrete mean square of the Dirichlet L-function at nontrivial zeros of another
Dirichlet L-function. L-function at nontrivial zeros of another Dirichlet L-function.
Int. J. Number Theory 9 (2013), no. 4, 945–963.
MR3060868 Radu, Cristian-Silviu; Sellers, James A.
Congruences modulo squares of primes for Fu's k dots bracelet partitions.k dots bracelet partitions.
Int. J. Number Theory 9 (2013), no. 4, 939–943.
MR3060867 Ramakrishnan, B.; Shankhadhar, Karam Deo
On a correspondence between Jacobi cusp forms and elliptic cusp forms.
Int. J. Number Theory 9 (2013), no. 4, 917–937.
MR3060866 Hu, Yong
On the distribution of integers with divisors in two consecutive intervals.
Int. J. Number Theory 9 (2013), no. 4, 903–915.
MR3060865 Chan, Tsz Ho; Tsang, Kai Man
Squarefull numbers in arithmetic progressions.
Int. J. Number Theory 9 (2013), no. 4, 885–901.
MR3060864 Baier, S.
Multiplicative inverses in short intervals.
Int. J. Number Theory 9 (2013), no. 4, 877–884.
MR3060863 Reynya, M. A.
Symmetric homogeneous Diophantine equations of odd degree.
Int. J. Number Theory 9 (2013), no. 4, 867–876.
MR3060862 Li, Yuanlin; Peng, Jiangtao
Minimal zero-sum sequences of length four over finite cyclic groups II.
Int. J. Number Theory 9 (2013), no. 4, 845–866.
MR3060861 Martin, Greg; Ng, Nathan
Nonzero values of Dirichlet L-functions in vertical arithmetic progressions.
L-functions in vertical arithmetic progressions.
Int. J. Number Theory 9 (2013), no. 4, 813–843.
MR3057291 Tsirekidze, David; Avoyan, Ala
Decomposition of an integer as a sum of two cubes to a fixed modulus.
Mat. Vesnik 65 (2013), no. 3, 383–386.
MR3057008 Jin, Hai-Tao; Sun, Lisa H.
On Spieß's conjecture on harmonic numbers.
Discrete Appl. Math. 161 (2013), no. 13-14, 2038–2041.
MR3076996 Gu, Xiu Chuan
Positive integral points on a class of elliptic curves.
(Chinese) J. Math. (Wuhan) 33 (2013), no. 1, 113–119.
MR3057260 Mahmudov, Nazim I.; Keleshteri, M. Eini
On a class of generalizedq-Bernoulli and q-Euler polynomials.q-Bernoulli and q-Euler polynomials.
Adv. Difference Equ.2013, 2013:115, 10 pp.
MR3057228 Tang, Hengcai
Zero density of L-functions related to Maass forms.L-functions related to Maass forms.
Front. Math. China 8 (2013), no. 4, 923–932.
MR3057128 Kuhlmann, Salma; Matusinski, Mickaël; Shkop, Ahuva C.
A note on Schanuel's conjectures for exponential logarithmic power series fields.
Arch. Math. (Basel) 100 (2013), no. 5, 431–436.
MR3057127 Halter-Koch, Franz
Lucas sequences and quadratic orders.
Arch. Math. (Basel) 100 (2013), no. 5, 417–430.
MR3057124 Yanyan, Liu
On the diophantine equation x4−q4=pyn.x4−q4=pyn.
Expo. Math. 31 (2013), no. 2, 196–203.
MR3043675 He, Bo; Togbé, Alain; Yang, Shichun
On the solutions of the exponential Diophantine equation ax+by=(m2+1)z.ax
+by=(m2+1)z. Quaest. Math. 36 (2013), no. 1, 119–135.MR3076847 Bertolini, Massimo
Regulators, L-functions and rational points.L-functions and rational points.
Boll. Unione Mat. Ital. (9) 6 (2013), no. 1, 191–204.
MR3075493 Wituła, Roman
Binomials transformation formulae of scaled Lucas numbers.
Demonstratio Math. 46 (2013), no. 1, 15–27.
MR3057243 Karadeniz Gözeri, Gül
On some power series with algebraic coefficients and Liouville numbers.
J. Inequal. Appl. 2013,2013:178, 9 pp.
MR3057072 Bravo, Jhon J.; Luca, Florian
Corrigendum to "Coincidences in generalized Fibonacci sequences'' [J. Number Theory 133 (6) (2013) 2121–2137] [MR3027957].
J. Number Theory 133 (2013), no. 9, 3205.
MR3057071 Dajani, Karma; Kraaikamp, Cor; van der Wekken, Niels
Ergodicity of N-continued fraction expansions.N-continued fraction expansions.
J. Number Theory133 (2013), no. 9, 3183–3204.
MR3057070 Mahnkopf, Joachim
On truncation of irreducible representations of Chevalley groups.
J. Number Theory 133 (2013), no. 9, 3149–3182.
MR3057069 Bulant, Michal; Kučera, Radan
On a modification of the group of circular units of a real abelian field.
J. Number Theory 133 (2013), no. 9, 3138–3148.
MR3057067 Kaygısız, Kenan; Şahin, Adem
A new method to compute the terms of generalized order-k Fibonacci numbers.k Fibonacci numbers.
J. Number Theory 133 (2013), no. 9, 3119–3126.
MR3057066 Rault, Patrick X.
On uniform bounds for rational points on rational curves of arbitrary degree.
J. Number Theory 133 (2013), no. 9, 3112–3118.
MR3057065 Barman, Rupam; Kalita, Gautam
Elliptic curves and special values of Gaussian hypergeometric series.
J. Number Theory 133 (2013), no. 9, 3099–3111.
MR3057064 Verhoek, Hendrik
Modularity of abelian varieties over Q with bad reduction in one prime only.Q with bad reduction in one prime only.
J. Number Theory 133 (2013), no. 9, 3065–3098.
MR3057062 Kriz, Daniel
On a conjecture concerning the maximal cross number of unique factorization indexed sequences.
J. Number Theory 133 (2013), no. 9, 3033–3056.
MR3057061 Macias Castillo, Daniel
On higher order Stickelberger-type theorems.
J. Number Theory 133 (2013), no. 9, 3007–3032.
MR3057060 Hegyvári, Norbert; Hennecart, François
A structure result for bricks in Heisenberg groups.
J. Number Theory 133 (2013), no. 9, 2999–3006.
MR3057059 Pasten, Hector
Powerful values of polynomials and a conjecture of Vojta.
J. Number Theory 133 (2013), no. 9, 2964–2998.
MR3057057 Vinh, Le Anh
On the generalized Erdős-Falconer distance problems over finite fields.
J. Number Theory 133 (2013), no. 9, 2939–2947.
MR3057055 Sun, Zhi-Wei
Connections between p=x2+3y2 and Franel numbers.
p=x2+3y2 and Franel numbers. J. Number Theory 133 (2013), no. 9, 2914–2928.MR3057051 Kerr, Bryce; Shparlinski, Igor E.
On the distribution of values and zeros of polynomial systems over arbitrary sets.
J. Number Theory 133 (2013), no. 9, 2863–2873.
MR3057050 Chen, Yong-Gao; Fang, Jin-Hui
Hegyvári's theorem on complete sequences.
J. Number Theory 133 (2013), no. 9, 2857–2862.
MR3056630 Witno, Amin
A family of sequences generating Smith numbers.
J. Integer Seq. 16 (2013), no. 4, Art. 13.4.6, 7 pp.
MR3056628 Ahmed, Tanbir
Some more van der Waerden numbers.
J. Integer Seq. 16 (2013), no. 4, Art. 13.4.4, 9 pp.
MR3056584 Grau Ribas, José María; Luca, Florian
Corrigendum to "Cullen numbers with the Lehmer property'' [MR2833524].
Proc. Amer. Math. Soc. 141 (2013), no. 8, 2941–2943.
MR3056555 Borwein, Peter; Choi, Stephen; Jankauskas, Jonas
Extremal Mahler measures and Ls norms of polynomials related to Barker sequences.
Lsnorms of polynomials related to Barker sequences.
Proc. Amer. Math. Soc. 141 (2013), no. 8, 2653–2663.
MR3056554 Cho, Bumkyu; Choie, Young Ju
On harmonic weak Maass forms of half integral weight.
Proc. Amer. Math. Soc. 141 (2013), no. 8, 2641–2652.
MR3056552 Pacetti, Ariel
On the change of root numbers under twisting and applications.
Proc. Amer. Math. Soc. 141 (2013), no. 8, 2615–2628.
MR3056550 Thakur, Dinesh S.
Higher Diophantine approximation exponents and continued fraction symmetries for function fields II.
Proc. Amer. Math. Soc. 141 (2013), no. 8, 2603–2608.
MR3053690 Sroysang, Banyat
On Fibonacci functions with period k.k. Discrete Dyn. Nat. Soc. 2013, Art. ID 418123, 4 pp.
MR3052286 Gauthier, P. M.
Approximating the Riemann zeta-function by strongly recurrent functions. Blaschke products and their applications, 31–42, Fields Inst. Commun., 65, Springer, New York, 2013.
MR3044212 James, Kevin; Smith, Ethan
Average Frobenius distribution for the degree two primes of a number field. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 3, 499–525.
MR3044211 Jung, Junehyuk; Lemke Oliver, Robert J.
Pretentiously detecting power cancellation.
Math. Proc. Cambridge Philos. Soc.154 (2013), no. 3, 481–498.
MR3044209 Drappeau, Sary
Sur les solutions friables de l'équation a+b=c.
a+b=c. (French) [On friable solutions of the equation a+b=c] Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 3, 439–463.MR3044206 Petridis, Giorgis
The L1-norm of exponential sums in Zd.L1-norm of exponential sums in Zd. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 3, 381–392.
MR3043408 Yagita, Nobuaki
Chern classes and the Rost cohomological invariant.
Kodai Math. J. 36 (2013), no. 1, 174–178.
MR2013-08-269 for Number Theory.pdf
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