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MR2014年1月份数论最新文献题录220条
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MR2014年1月份数论最新文献题录220条
诸平 辑
关于美国《数学评论》（MR）数据库题录数论研究最新信息，已经连续搜索与转载报道有几年了，2013年1-12月的逐月统计结果已有报道，见MR2013年12月份数论最新文献题录241条。今天介绍MR数据库2014年1月份收录情况，MR数据库新增题录11156条，其中数论研究220条.2013年MR数据库题录文献共计116598条，其中数论研究文献题录3187条。2014年1月份收录的数论研究题录摘引其中部分列入以下(可能有些信息无法正确显示，可以浏览附件PDF文件），由于附件太大，上传受限，分为两个附件上传：
MR2014年1月份数论最新文献题录220条请浏览附件
(MR201401-number theory-220-1.pdf；
MR201401-number theory-220-2.pdf)
MR3109937 Mahadeva Naika, M. S.; Dharmendra, B. N.; Chandankumar, S.
On some new modular relations for Ramanujan's κ(q)-function and ν(q)-function.
κ(q)-function and ν(q)-function. Palest. J. Math. 3 (2014), no. 1, 44–60.MR3109933 Jarquín-Zárate, F.; Villa-Salvador, G.
Galois module structure of the p-subgroup of the minus part of
the ray class group in Zp-extensions.
p-subgroup of the minus part of the ray class group in Zp-extensions. Palest. J. Math. 3 (2014), no. 1, 1–10.MR3111883 Dilcher, K.; Hessami Pilehrood, Kh.; Hessami Pilehrood, T.
On q-analogues of double Euler sums.
q-analogues of double Euler sums. J. Math. Anal. Appl. 410 (2014), no. 2, 979–988.MR3111865 Radziejewski, Maciej
Algebraic independence of logarithmic singularities of some complex functions.
J. Math. Anal. Appl. 410 (2014), no. 2, 764–770.
Change of root numbers of elliptic curves under extension of scalars.
J. Number Theory 134 (2014), 293–319.
MR3111568 Trudgian, Timothy S.
An improved upper bound for the argument of the Riemann zeta-function on the critical line II. J. Number Theory 134 (2014), 280–292.
Orthogonal decompositions of integral trace forms of cyclotomic fields and
their canonical forms over the ring of p-adic integers.
p-adic integers. J. Number Theory 134 (2014), 258–279.MR3111566 Min, Jeongwon Zeros and special values of Witten zeta functions and
Witten L-functions.
L-functions. J. Number Theory 134 (2014), 240–257.Ordinary modular forms and companion points on the eigencurve.
J. Number Theory 134 (2014), 226–239.
MR3111564 Hiraoka, Yoshio; Okada, Kaoru
On Hecke algebras for Hilbert modular forms. J. Number Theory 134 (2014), 197–225.
MR3111562 Ibukiyama, Tomoyoshi; Katsurada, Hidenori; Poor, Cris; Yuen, David S.
Congruences to Ikeda-Miyawaki lifts and triple L-values of elliptic modular forms.
L-values of elliptic modular forms. J. Number Theory 134 (2014), 142–180.On bases of Washington's group of circular units of some real cyclic number fields.
J. Number Theory 134 (2014), 109–129.
MR3111559 Farhat, Maya; Sodaïgui, Bouchaïb
On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes.
p-ary cyclic Hamming codes. J. Number Theory 134 (2014), 93–108.MR3111558 Huber, Tim A theory of theta functions to the quintic base.
J. Number Theory 134 (2014), 49–92.
MR3111557 Lee, Yoonbok Zeros of the derivatives of the Riemann zeta function
on Res<1/2.
Res<1/2. J. Number Theory 134 (2014), 38–48.On the signature calculus for finite fields of order square of prime numbers.
J. Number Theory 134 (2014), 29–37.
Integral cohomology of certain Picard modular surfaces.
J. Number Theory 134 (2014), 13–28.
On the asymptotic density of the support of a Dirichlet convolution.
J. Number Theory 134 (2014), 1–12.
MR3110797 Nelson, Paul D.; Pitale, Ameya; Saha, Abhishek
Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels.
J. Amer. Math. Soc. 27 (2014), no. 1, 147–191.
MR3109840 Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru
Monotonicity results for Dirichlet L-functions.
L-functions. J. Math. Anal. Appl. 410 (2014), no. 1, 307–315.MR3109814 Amirkhanyan, Gagik; Bilyk, Dmitriy; Lacey, Michael T.
Dichotomy results for the L1norm of the discrepancy function.
L1norm of the discrepancy function. J. Math. Anal. Appl. 410 (2014), no. 1, 1–6.Evaluations on the mean value formula of Atkinson-type for modular Lfunctions.
Lfunctions. JP J. Algebra Number Theory Appl. 29 (2013), no. 2, 175–188.MR3136586 Ren, Zhi; Yang, Dongchen
A Diophantine problem from mathematical physics.
JP J. Algebra Number Theory Appl. 29 (2013), no. 2, 119–132.
MR3136585 Caragiu, Mihai; Pleshinger, Donald; Schroeder, Jonathan C.
Uniform distribution for a class of k-paradoxical oriented graphs.
k-paradoxical oriented graphs.
JP J. Algebra Number Theory Appl. 29 (2013), no. 2, 107–117.
A note on the generalized Bernoulli and Euler polynomials.
Eur. J. Pure Appl. Math. 6 (2013), no. 4, 405–412.
MR3123691 Beleño Diaz, Juan Sebastian
On the number of pairs of points in a quadratic equation with rational distance.
Eur. J. Pure Appl. Math. 6 (2013), no. 4, 400–404.
MR3123673 Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
Diophantine approximation and automorphic spectrum.
Int. Math. Res. Not. IMRN 2013, no. 21, 5002–5058.
Representing integers as sums or differences of general power products.
Acta Math. Hungar. 141 (2013), no. 3, 291–300.
MR3136386 Lin, Gui Juan; Xin, Lin
Necessary and sufficient conditions for existence of
the integer solution to a type of indeterminate equations and their applications. (Chinese)
Xiamen Daxue Xuebao Ziran Kexue Ban 52 (2013), no. 4, 441–446.
MR3123592 Cléry, F.; Gritsenko, V.
Modular forms of orthogonal type and Jacobi theta-series.Abh. Math. Semin. Univ. Hambg. 83 (2013), no. 2, 187–217.
MR3123590 Ramakrishnan, B.; Shankhadhar, K. D.
On the restriction map for Jacobi forms.
Abh. Math. Semin. Univ. Hambg. 83 (2013), no. 2, 163–174.
MR3123589 Kohnen, Winfried On a series of Koecher-Maass type attached to Siegel cusp forms.
Abh. Math. Semin. Univ. Hambg. 83 (2013), no. 2, 159–162.
-adic quaternionic Eisenstein series.
Abh. Math. Semin. Univ. Hambg. 83 (2013), no. 2, 147–157.
MR3123304 Rapoport, Michael; Terstiege, Ulrich; Zhang, Wei
On the arithmetic fundamental lemma in the minuscule case.
Compos. Math. 149 (2013), no. 10, 1631–1666.
MR3122319 Tang, Hengcai; Zhao, Feng Waring-Goldbach problem for fourth powers in short intervals.
Front. Math. China 8 (2013), no. 6, 1407–1423.
MR3122307 Sun, Xuegong; Dai, Lixia Chen's conjecture and its generalization.
Chin. Ann. Math. Ser. B 34 (2013), no. 6, 957–962.
MR3122300 Wu, Rongjun; Tan, Qianrong; Hong, Shaofang
New lower bounds for the least common multiples of arithmetic progressions.
Chin. Ann. Math. Ser. B 34 (2013), no. 6, 861–864.
MR3122293 Dujella, A.; Elsholtz, C. Sumsets being squares.
Acta Math. Hungar. 141 (2013), no. 4, 353–357.
MR3122290 Bazzanella, D. A note on integer polynomials with small integrals.
Acta Math. Hungar. 141 (2013), no. 4, 320–328.
MR3121692 Pollack, Paul On Mertens' theorem for Beurling primes.
Canad. Math. Bull. 56 (2013), no. 4, 829–843.
MR3121691 Petridis, Yiannis N.; Raulf, Nicole; Risager, Morten S.
Erratum to "Quantum limits of Eisenstein series and scattering states'' [MR3121690].
Canad. Math. Bull. 56 (2013), no. 4, 827–828.
MR3121690 Petridis, Yiannis N.; Raulf, Nicole; Risager, Morten S.
Quantum limits of Eisenstein series and scattering states.
Canad. Math. Bull. 56 (2013), no. 4, 814–826.
MR3121687 Liu, Zhixin Small prime solutions to cubic Diophantine equations.
Canad. Math. Bull.56 (2013), no. 4, 785–794.
MR3121685 Issa, Zahraa; Lalín, Matilde
A generalization of a theorem of Boyd and Lawton.
Canad. Math. Bull. 56 (2013), no. 4, 759–768.
MR3121681 Bérczes, Attila; Luca, Florian
On the sum of digits of numerators of Bernoulli numbers.
Canad. Math. Bull. 56 (2013), no. 4, 723–728.
MR3121679 Banks, William D.; Güloğlu, Ahmet M.; Yeager, Aaron M.
Carmichael meets Chebotarev. Canad. Math. Bull. 56 (2013), no. 4, 695–708.
MR3121677 Ayadi, K.; Hbaib, M.; Mahjoub, F.
Diophantine approximation for certain algebraic formal power series
in positive characteristic. Canad. Math. Bull. 56 (2013), no. 4, 673–682.
MR3121124 Lee, H. Y.; Kim, W. J.; Seo, J. J.; Kim, T. K.
A note on the new type's higher order q-Bernoulli polynomials.
q-Bernoulli polynomials. Appl. Math. Sci. (Ruse) 7 (2013), no. 105-108, 5301–5310.MR3121123 Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun Some identities arising from Sheffer sequences for the powers of
Sheffer pairs under umbral composition. Appl. Math. Sci. (Ruse) 7 (2013), no. 105-108, 5287–5299.
MR3115449 Garcia, Stephan Ramon Quotients of Gaussian primes.
Amer. Math. Monthly 120 (2013), no. 9, 851–853.
MR3115444 Cimadevilla Villacorta, Jorge Luis
Certain inequalities associated with the divisor function.
Amer. Math. Monthly 120 (2013), no. 9, 832–837.
MR3115443 Bayless, Jonathan; Klyve, Dominic
Reciprocal sums as a knowledge metric: theory, computation, and perfect numbers.
Amer. Math. Monthly 120 (2013), no. 9, 822–831.
MR3115090 Kim, Y. H.; Jung, H. Y.; Ryoo, C. S.
On the generalized Euler polynomials of the second kind.
J. Appl. Math. Inform. 31 (2013), no. 5-6, 623–630.
Two very special Pythagorean triangles. Math. Æterna 3 (2013), no. 5-6, 497–500.
Iterating linear causal recurrence relations. Math. Æterna 3 (2013), no. 5-6, 473–487.
MR3136660 Wang, Xiao Ying; Dong, Xiao Ru; Liu, Hua Ning
Difference between an integer and its inverse modulo integer q.
q. (Chinese) J. Shaanxi Normal Univ. Nat. Sci. Ed. 41 (2013), no. 3, 13–16.https://blog.sciencenet.cn/blog-212210-764100.html
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