MR2016年8月份数论最新文献题录286条（见附件）

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，从2012年4月以来已经连续搜索与转载报道有几年时间了，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。MR2014年1～12月份数论题录文献检索结果,详见：

MR2014年12月份数论研究最新文献题录197条，

MR2015年1～12月份数论题录文献检索结果,详见：

MR2015年1~12月份数论最新文献题录

MR2016年1月份数论最新文献题录186条

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MR2016年3月份数论最新文献题录230条

MR2016年4月份数论最新文献题录265条

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MR2016年7月份数论最新文献题录250条

MR2016年8月份收录文献总量为11625条，其中数论研究最新文献题录286条，摘录部分如下（可能存在数学公式无法准确显示或者出现乱码，请读者参考原文献），更多可以参考附件（正在整理上传之中）

MR2016-08-286 for Number Theory.pdf

MR3510849 Vesely, Michal; Hasil, Petr Values of limit periodic sequences andfunctions. Math. Slovaca 66 (2016), no. 1, 43–62.

MR3510669 Grau, J.-M.; Oller-Marcén, A. M. Variations on Giuga numbers and Giuga'scongruence.Translation ofUkraïn. Mat. Zh. 67 (2015),no. 11, 1573–1578. UkrainianMath. J. 67 (2016),no. 11, 1778–1785.

MR3509934 Stapledon, Alan Additive number theory and inequalitiesin Ehrhart theory. Int. Math. Res. Not. IMRN 2016, no. 5, 1497–1540.

MR3509933 Bugeaud, Yann; Han, Guo-Niu; Wen, Zhi-Ying; Yao, Jia-Yan Hankel determinants, Padéapproximations, and irrationality exponents. Int. Math. Res. Not. IMRN 2016, no. 5, 1467–1496.

MR3509931 Harman, Glyn; Shparlinski, Igor E. Products of small integers in residueclasses and additive properties of Fermat quotients. Int. Math. Res.Not. IMRN 2016, no.5, 1424–1446.

MR3506323 Pujolàs, Jordi; Riquelme, Edgardo; Thériault, Nicolas Trisection for non-supersingular genus2 curves in characteristic 2. Int. J. Comput. Math. 93 (2016), no. 8, 1254–1264.

MR3511293 Banks, William D.; Shparlinski, Igor E. On Gauss sums and the evaluation ofStechkin's constant. Math. Comp. 85 (2016), no. 301, 2569–2581.

MR3511290 Chen, Hao Computing the Mazur and Swinnerton-Dyercritical subgroup of elliptic curves.Math. Comp. 85 (2016), no. 301, 2499–2514.

MR3511289 Büthe, Jan Estimating π(x) and relatedfunctions under partial RH assumptions. Math. Comp.85 (2016), no. 301, 2483–2498.

MR3510827 Oukhaba, Hassan; Viguié, Stéphane On the μ-invariant ofKatz p-adic L-functions attachedto imaginary quadratic fields. Forum Math. 28 (2016), no. 3, 507–525.

MR3510825 Raghuram, A. Critical values of Rankin-Selberg L-functions for GLn×GLn−1 and thesymmetric cube L-functions for GL2. Forum Math. 28 (2016), no. 3, 457–489.

MR3510822 Samart, Detchat The elliptic trilogarithm and Mahlermeasures of K3 surfaces. Forum Math.28 (2016), no. 3, 405–423.

MR3510734 Bravo, Jhon J.; Luca, Florian On the diophantine equation Fn+Fm=2a. Quaest.Math. 39 (2016), no. 3,391–400.

MR3509648 Das, Kuwali Parity results for 13-corepartitions. Mat. Vesnik 68 (2016), no. 3, 175–181.

MR3510408 Lang, Cheng Lien; Lang, Mong Lung Arithmetic and geometry of the Heckegroups. J. Algebra 460 (2016), 392–417.

MR3510393 Lombardo, Davide Explicit surjectivity of Galoisrepresentations for abelian surfaces and GL2-varieties. J.Algebra 460 (2016),26–59.

MR3510330 Ding, Yiwen L-invariants andlocal-global compatibility for the group GL2/F. Forum Math.Sigma 4 (2016), e13, 49 pp.

MR3510170 Yang, Shichun; Togbé, Alain A note of three prime representationproblems. Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32 (2016), no. 1, 23–31.

MR3507451 Voskresenskaya, G. V. Decomposition of spaces of modularforms. (Russian) Mat. Zametki 99 (2016), no. 6, 867–877.

MR3509386 Krenn, Daniel; Wagner, Stephan Compositions into powers of b: asymptoticenumeration and parameters. Algorithmica 75 (2016), no. 4, 606–631.

MR3509334 Nicholson, Neil R.; Rachan, Rebecca On weak lattice point visibility. Involve 9 (2016), no. 3, 411–414.

MR3509330 Meemark, Yotsanan; Prinyasart, Thanakorn A combinatorial proof of adecomposition property of reduced residue systems. Involve 9 (2016), no. 3, 361–366.

MR3509244 Osburn, Robert; Sahu, Brundaban; Straub, Armin Supercongruences for sporadicsequences.Proc. Edinb. Math. Soc. (2) 59 (2016), no. 2, 503–518.

MR3508577 Yamagata, Koji; Yamagishi, Masakazu On the ring of integers of realcyclotomic fields. Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 6, 73–76.

MR3509225 Muto, Masanori; Narita, Hiro-Aki; Pitale, Ameya Lifting to GL(2) over a divisionquaternion algebra, and an explicit construction of cap representations. NagoyaMath. J. 222 (2016),no. 1, 137–185.

MR3508740 Khare, Chandrashekhar; Ramakrishna, Ravi Lifting torsion Galoisrepresentations—corrigendum [MR3482264]. ForumMath. Sigma 4 (2016),e10, 1 pp.

MR3508673 Bang, Minsang; Kwon, DoYong On the irreducibility of sum of tworeciprocal polynomials.Bull. Korean Math. Soc. 53 (2016), no. 3, 833–842.

MR3508664 Gadri, Wiem; Mkaouar, Mohamed Continued fraction and diophantineequation. Bull. Korean Math. Soc. 53 (2016), no. 3, 699–709.

MR3508622 Cheng, Xiao Yun; Guo, Xue Jun On the 2-primary part of tame kernelsof real quadratic fields. Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 7, 807–812.

MR3508621 Shen, Zhong Yan; Cai, Tian Xin Some weighted sum identities for doublezeta values. Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 7, 797–806.

MR3508501 Andrade, Julio; Rajagopal, Surajit Mean values of derivatives of L-functions infunction fields: I. J. Math. Anal. Appl. 443 (2016), no. 1, 526–541.

MR3505571 Ramaré, Olivier Modified truncated Perronformulae. Ann. Math. Blaise Pascal 23 (2016), no. 1, 109–128.

MR3505567 Asensouyis, Hassan Formule des genres pour le noyausauvage étale. (French) [Agenus formula for the étale wild kernel] Ann. Math.Blaise Pascal 23(2016), no. 1, 1–20.

MR3502234 Saburov, M.; Ahmad, M. A. K. Solvability and number of roots ofbi-quadratic equations overp-adic fields. Malays. J. Math. Sci. 10 (2016), part 1, Special Issue: The 3rdInternational Conference on Mathematical Applications in Engineering 2014,15–35.

MR3508239 You, Xu; Chen, Di-Rong; Shi, Hong Some new sequences that converge to theIoachimescu constant. J. Inequal. Appl. 2016, 2016:148, 6 pp.

MR3508219 Bergeron, Nicolas; Millson, John; Moeglin, Colette The Hodge conjecture and arithmeticquotients of complex balls. Acta Math. 216 (2016), no. 1, 1–125.

MR3504333 Lester, Stephen; Yesha, Nadav On the distribution of the divisorfunction and Hecke eigenvalues. Israel J. Math. 212 (2016), no. 1, 443–472.

MR3502204 Shylashree, N.; Sridhar, V. Hardware realization of fast ellipticcurve point multiplication using balanced ternary representation andpre-computation over GF(p). J. DiscreteMath. Sci. Cryptogr. 19(2016), no. 1, 141–161.

MR3502201 Valluri, Maheswara Rao Azero-knowledge identification protocol in the ring of Gaussian integers. J.Discrete Math. Sci. Cryptogr. 19 (2016), no. 1, 93–101.

MR3501967 Falcon, Sergio The k-Fibonacci differencesequences. Chaos Solitons Fractals 87 (2016), 153–157.

MR3495440 Amoroso, Francesco On a conjecture of G. Rémond. Ann.Sc. Norm. Super. Pisa Cl. Sci. (5)15 (2016), 599–608.

MR3495432 Frei, Christopher; Widmer, Martin Schanuel's theorem for heights definedvia extension fields. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 355–398.

MR3495419 Hartl, Urs; Hüsken, Simon A criterion for good reduction ofDrinfeld modules and Anderson motives in terms of local shtukas. Ann.Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 25–43.

MR3495418 Fischler, Stéphane; Rivoal, Tanguy Multiple zeta values, Padéapproximation and Vasilyev's conjecture. Ann. Sc. Norm. Super. Pisa Cl.Sci. (5) 15 (2016),1–24.

MR3509952 Büyükboduk, Kazım On Nekovář's heights, exceptional zerosand a conjecture of Mazur-Tate-Teitelbaum. Int. Math. Res. Not. IMRN 2016, no. 7, 2197–2237.

MR3507574 Shparlinski, Igor E. On small gaps between the elements ofmultiplicative subgroups of finite fields. Des. Codes Cryptogr. 80 (2016), no. 1, 63–71.

MR3507289 Kostov, Vladimir Petrov On a partialtheta function and its spectrum. Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 3, 609–623.

MR3507286 Eum, Ick Sun; Koo, Ja Kyung; Shin, Dong Hwa Some applications ofeta-quotients. Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 3, 565–578.

MR3503829 Sécherre, Vincent; Stevens, Shaun Block decomposition of the categoryof ℓ-modularsmooth representations of GLn(F) and its innerforms. Ann. Sci. éc. Norm. Supér. (4) 49 (2016), no. 3, 669–709.

MR3503827 Bellaïche, Joël Théorème de Chebotarev et complexité deLittlewood. (French) [TheChebotarev theorem and the Littlewood complexity] Ann. Sci.éc. Norm. Supér. (4) 49(2016), no. 3, 579–632.

MR3502063 Yüce, Salim; Torunbalcı Aydın, Fügen A new aspect ofdual Fibonacci quaternions. Adv. Appl. Clifford Algebr. 26 (2016), no. 2, 873–884.

MR3502054 Polatlı, Emrah A generalization of Fibonacci and Lucasquaternions. Adv. Appl. Clifford Algebr.26 (2016), no. 2, 719–730.

MR3502047 Catarino, Paula The modified Pell and themodified k-Pell quaternions and octonions. Adv.Appl. Clifford Algebr. 26(2016), no. 2, 577–590.

MR3502045 Bekar, Murat; Yayli, Yusuf Involutions in dualsplit-quaternions. Adv. Appl. Clifford Algebr.26 (2016), no. 2, 553–571.

MR3501486 Halıcı, Serpil; Akyuz, Zeynep Fibonacci and Lucas sequences atnegative indices. Konuralp J. Math. 4 (2016), no. 1, 172–178.

MR3506905 Fieker, Claus; Zhang, Yinan An application of the p-adic analytic classnumber formula. LMS J. Comput. Math. 19 (2016), no. 1, 217–228.

MR3506474 Chapman, Adam; Dolphin, Andrew; Laghribi, Ahmed Total linkage of quaternion algebrasand Pfister forms in characteristic two. J. Pure Appl. Algebra 220 (2016), no. 11, 3676–3691.

MR3495648 Chubarikov, V. N. Arithmetic sums of the values of apolynomial. (Russian) Dokl. Akad.Nauk466 (2016), no. 2,152–153.

MR3506387 Rosso, Giovanni A formula for the derivative ofthe p-adic L-function of thesymmetric square of a finite slope modular form. Amer. J. Math. 138 (2016), no. 3, 821–878.

MR3506350 Ahmad, Shahzad; Nakahara, Toru; Hameed, Abdul On certain pure sextic fields relatedto a problem of Hasse. Internat. J. Algebra Comput. 26 (2016), no. 3, 577–583.

MR3496731 Allakov, I. Maʹruf Israilovich Israilov's investigations innumber theory. (Russian) Uzbek. Mat.Zh. 2014, no.3, 17–27.

MR3504681 Tulsiani, Madhur; Wolf, Julia Quadratic Goldreich-Levintheorems. SIAM J. Comput. 43 (2014), no. 2, 730–766.

MR3486768 Ikonnikova, E. V. The Hensel-Shafarevich canonical basisin Lubin-Tate formal modules.(Russian) Zap. Nauchn.Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 430 (2014), Voprosy Teorii PredstavleniĭAlgebr i Grupp. 27, 186–201.

MR3486762 Vostokov, S. V.; Nekrasov, I. I. The Lubin-Tate formal module in acyclic unramified p-extension as a Galois module. (Russian) Zap. Nauchn.Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)430 (2014), Voprosy Teorii PredstavleniĭAlgebr i Grupp. 27, 61–66.

MR3486761 Vostokov, S. V.; Volkov, V. V.; Bondarko, M. V. Explicit form of the Hilbert symbol forpolynomial formal modules in a multidimensional local field. I. (Russian) Zap. Nauchn.Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 430 (2014), Voprosy Teorii PredstavleniĭAlgebr i Grupp. 27, 53–60.

MR3346429 Miana, Pedro J.; Romero, Natalia Racional identities in the Catalantriangle. [Corrected title:Rational identities in the Catalan triangle] Proceedingsof the MCalv6(5) Conference, 233–240, Monogr. Real Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza, 33, Acad. Cienc.Exact. Fís. Quím. Nat. Zaragoza, Zaragoza,2010.