MR2014年9月份数论最新文献题录225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，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。

MR2014年1月份数论最新文献题录220条；

MR2014年2月份数论最新文献题录262条；

MR2014年3月份数论最新文献题录268条；

MR2014年4月份数论最新文献题录357条
MR2014年5月份数论最新文献题录272条 

MR2014年6月份数论最新文献题录313条 
MR2014年7月份数论最新文献题录222条

MR2014年8月份数论最新文献题录244条

MR2014-09-225 for Number Theory.pdf

今天介绍MR数据库2014年9月份收录情况，9月份MR数据库新增题录9615条，其中数论研究225条.现摘录其中部分列入以下(有些信息可能无法正确显示，可以浏览附件PDF文件），更多信息请浏览附件(MR2014-09-225 for Number Theory.pdf，如果附件仍然无法正确显示数学公式，建议在"MathSciNet，Mathematical Reviews on the Web"进行浏览)：

MR3229917 Bauch,Jens-Dietrich Genus computation of global function fields.

J. Symbolic Comput. 66 (2015), 8–20.

MR3247459 GopalakrishnaGadiyar, H.; Padma,Ramanathan 

Ramanujan-Fourierseries and the conjecture D of Hardy and Littlewood.

 CzechoslovakMath. J. 64(139)(2014), no. 1, 251–267.

MR3247443 Han, Di A hybrid mean valueinvolving two-term exponential sums and polynomial character sums.

Czechoslovak Math. J. 64(139) (2014), no. 1, 53–62.

MR3247439 Azizi,Abdelmalek; Zekhnini,Abdelkader; Taous, Mohammed 

Sur un problème decapitulation du corps Q(p1p2−−−−√,i) dont le 2-groupe declasses est élémentaire. (French)

[Capitulation problem for the field Q(p1,p2−−−−−√,i) with elementary 2-class group]

Czechoslovak Math. J. 64(139) (2014), no. 1, 11–29.

MR3240818 Kohel, David; Lauter, Kristin; Petit,Christophe; Tignol,Jean-Pierre 

On the quaternion ℓ-isogeny path problem. LMS J. Comput. Math. 17 (2014), suppl. A, 418–432.

MR3240817 Miller, John C. Class numbers ofreal cyclotomic fields of composite conductor.

LMS J. Comput. Math. 17 (2014), suppl. A, 404–417.

MR3240816 Biasse,Jean-François; Fieker, Claus 

Subexponential classgroup and unit group computation in large degree number fields. 

LMS J. Comput. Math. 17 (2014), suppl. A, 385–403.

MR3240815 Page, A. An algorithm for theprincipal ideal problem in indefinite quaternion algebras.

 LMS J.Comput. Math. 17 (2014),suppl. A, 366–384.

MR3240814 Fieker, Claus; Hofmann, Tommy Computing inquotients of rings of integers.

LMS J. Comput. Math. 17 (2014), suppl. A, 349–365.

MR3240813 Ryan, Nathan C.; Tornaría,Gonzalo; Voight, John 

Nonvanishing of twistsof L-functions attached toHilbert modular forms. 

LMS J. Comput. Math. 17 (2014), suppl. A, 330–348.

MR3240811 Küçüksakallı,Ömer On the units generated by Weierstrass forms.

LMS J. Comput. Math. 17 (2014), suppl. A, 303–313.

MR3240810 Fukuda, T.; Komatsu, K. Class numbercalculation using Siegel functions.

LMS J. Comput. Math.17 (2014),suppl. A, 295–302.

MR3240808 Harvey, David; Sutherland,Andrew V. 

Computing Hasse-Wittmatrices of hyperelliptic curves in average polynomial time. 

LMS J. Comput. Math. 17 (2014), suppl. A, 257–273.

MR3240807 Takemori, Sho On the computationof the determinant of vector-valued Siegel modular forms.

LMS J. Comput. Math. 17 (2014), suppl. A, 247–256.

MR3240806 Barbulescu,Razvan; Pierrot, Cécile 

The multiple numberfield sieve for medium- and high-characteristic finite fields. 

LMS J. Comput. Math. 17 (2014), suppl. A, 230–246.

MR3240805 Cheng, Qi; Wan, Daqing; Zhuang, Jincheng Traps to theBGJT-algorithm for discrete logarithms.

LMS J. Comput. Math. 17 (2014), suppl. A, 218–229.

MR3240804 Petit,Christophe Finding roots in Fpn with the successive resultants algorithm. 

LMS J. Comput. Math. 17 (2014), suppl. A, 203–217.

MR3240803 Bernstein,Daniel J.; Lange, Tanja Hyper-and-elliptic-curvecryptography.

LMS J. Comput. Math.17 (2014),suppl. A, 181–202.

MR3240802 Costello, Craig; Deines-Schartz,Alyson; Lauter, Kristin; Yang, Tonghai 

Constructing abeliansurfaces for cryptography via Rosenhain invariants. 

LMS J. Comput. Math. 17 (2014), suppl. A, 157–180.

MR3240801 Blackburn, SimonR.; Scott, Sam The discretelogarithm problem for exponents of bounded height.

LMS J. Comput. Math. 17 (2014), suppl. A, 148–156.

MR3240799 Fisher, Tom Minimal models for6-coverings of elliptic curves.

LMS J. Comput. Math. 17 (2014), suppl. A, 112–127.

MR3240798 Li, Jianwei; Nguyen, Phong Q. Approximating thedensest sublattice from Rankin's inequality.

LMS J. Comput. Math. 17 (2014), suppl. A, 92–111.

MR3240797 Chevyrev, Ilya; Galbraith,Steven D. 

Constructingsupersingular elliptic curves with a given endomorphism ring. 

LMS J. Comput. Math. 17 (2014), suppl. A, 71–91.

MR3240796 Becker, Anja; Gama, Nicolas; Joux, Antoine A sieve algorithmbased on overlattices.

LMS J. Comput. Math. 17 (2014), suppl. A, 49–70.

MR3240795 Zeng, Jinxiang Computing Galoisrepresentations of modular abelian surfaces.

LMS J. Comput. Math. 17 (2014), suppl. A, 36–48.

MR3240793 Moehlmann, G. Computation ofMordell-Weil bases for ordinary elliptic curves in characteristic two.

LMS J. Comput. Math. 17 (2014), suppl. A, 1–13.

MR3237803 Ouyang, Yi; Yang, Jinbang On the cohomology ofsemi-stable p-adic Galoisrepresentations. 

C. R. Math. Acad. Sci.Paris 352 (2014),no. 7-8, 557–561.

MR3237802 Omar, Sami On small zeros ofautomorphic L-functions. 

C. R. Math. Acad. Sci.Paris 352 (2014),no. 7-8, 551–556.

MR3237801 Derbal, Abdallah Grandes valeursd'une fonction

additive liée auxdiviseurs généralisés d'un nombre entier. (French)

[Large values of an additive functionlinked with generalized divisors of an integer]

C. R. Math. Acad. Sci.Paris 352 (2014),no. 7-8, 547–550.

MR3217707 Walji, Nahid Further refinementof strong multiplicity one for GL(2). 

Trans. Amer. Math. Soc. 366 (2014), no. 9, 4987–5007.

MR3239093 Parsell, ScottT.; Wooley, TrevorD. 

Exceptional sets forDiophantine inequalities. Int. Math.Res. Not. IMRN 2014, no. 14,3919–3974.

MR3247064 Steele, G. Ander The p-adic Shintani cocycle. Math. Res. Lett. 21 (2014), no. 2, 403–422.

MR3247062 Ohno, Yasuo; Taniguchi,Takashi 

Relations amongDirichlet series whose coefficients are class numbers of binary cubic forms II. 

Math. Res. Lett. 21 (2014), no. 2, 363–378.

MR3247057 Dupuy, Taylor Positivity and liftsof the Frobenius.

Math. Res. Lett. 21 (2014), no. 2, 289–295.

MR3247054 Cais, Bryden On the Up operator in characteristic p. 

Math. Res. Lett. 21 (2014), no. 2, 255–260.

MR3247046 Ludwig, Judith p-adic functoriality for inner forms of unitary groups in threevariables. 

Math. Res. Lett. 21 (2014), no. 1, 141–148.

MR3247039 Berger, Tobias; Klosin,Krzysztof; Kramer, Kenneth 

On higher congruencesbetween automorphic forms. Math. Res.Lett. 21 (2014),no. 1, 71–82.

MR3246339 Choi, Junesang Summation formulasinvolving binomial coefficients,

harmonic numbers, andgeneralized harmonic numbers. Abstr. Appl.Anal. 2014, Art. ID501906, 10 pp.

MR3219269 Chen, Yong-Gao; Fang, Jin-Hui 

All sums of h distinct terms of asequence. European J.Combin. 41 (2014),289–297.

MR3219259 Bringmann,Kathrin; Li, Yingkun; Rhoades, RobertC. 

Asymptotics for thenumber of row-Fishburn matrices. European J. Combin. 41 (2014), 183–196.

MR3247033 Lü, Fan; Tan, Bo; Wu, Jun 

Univoque sets for realnumbers. Fund. Math. 227 (2014), no. 1, 69–83.

MR3246938 Yao, Yijun Rankin-Cohendeformations and representation theory.

Chin. Ann. Math. Ser. B 35 (2014), no. 5, 817–840.

MR3245030 Xia, Xingwu; Qu, Yongke; Qian, Guoyou 

A characterization ofsequences with the minimum number of k-sums modulo k. 

Colloq. Math. 136 (2014), no. 1, 51–56.

MR3245029 Chen, Feng-Juan; Chen, Yong-Gao 

On the index of an oddperfect number. Colloq.Math. 136 (2014),no. 1, 41–49.

MR3245027 Komatsu, Takao; Luca, Florian; Pita Ruiz V.,Claudio de J. 

Generalized poly-Cauchypolynomials and their interpolating functions. Colloq. Math. 136 (2014), no. 1, 13–30.

MR3244732 Weselmann, Uwe Siegel modularvarieties and the Eisenstein cohomology of PGL2g+1.

Manuscripta Math. 145 (2014), no. 1-2, 175–220.

MR3244730 O'Shea, James The weak isotropy ofquadratic forms over field extensions.

Manuscripta Math. 145 (2014), no. 1-2, 143–161.

MR3244729 Laskar, Abhijit ℓ-independence for a system of motivic representations. 

Manuscripta Math. 145 (2014), no. 1-2, 125–142.

MR3244728 Tsai, Mu-Tsun; Zaharescu,Alexandru 

On the distribution ofalgebraic primes in small regions.Manuscripta Math. 145 (2014), no. 1-2, 111–123.

MR3244726 Sivatski, A. S. Faddeev invariantsfor central simple algebras over rational function fields.

Manuscripta Math. 145 (2014), no. 1-2, 71–88.

MR3244725 Liu, Yifeng Relative traceformulae toward Bessel and Fourier-Jacobi periods on unitary groups.

Manuscripta Math. 145 (2014), no. 1-2, 1–69.

MR3241128 Schinzel, A. Stern polynomials asnumerators of continued fractions.

Bull. Pol. Acad. Sci.Math. 62 (2014),no. 1, 23–27.

MR3226595 Jafari, Mehdi On the properties ofquasi-quaternion algebra.

Commun. Fac. Sci. Univ.Ank. Sér. A1 Math. Stat. 63 (2014),no. 1, 1–10.

MR3219586 Marshall, Simon Triple product L-functions and quantum chaos on SL(2,C). 

Israel J. Math. 200 (2014), no. 1, 423–448.

MR3245839 DeBenedetto,Justin Quadratic forms representing all primes.

Involve 7 (2014), no. 5, 619–626.

MR3240196 Besson, Etienne Points rationnels de lafonction gamma d'Euler. (French)

[Rational points of Euler's gammafunction] Arch. Math. (Basel) 103 (2014), no. 1, 61–73.

MR3240195 Lahr, Martina; Schulze-Pillot,Rainer 

Weakly holomorphic modular forms for somemoonshine groups. Arch. Math.(Basel) 103 (2014), no. 1, 53–60.

MR3238407 Ponrod,Pitchayatak; Harnchoowong,Ajchara 

A generalization ofEuler's totient function.Chamchuri J. Math. 6 (2014), 47–55.

MR3234819 Kan, I. D.; Frolenkov, D. A. 

A strengthening of theBourgain-Kontorovich theorem. (Russian)

Izv. Ross. Akad. NaukSer. Mat. 78 (2014),no. 2, 87–144.

MR3234818 Illarionov, A.A. Onthe average number of best approximations of linear forms.

(Russian) Izv.Ross. Akad. Nauk Ser. Mat. 78(2014), no. 2, 61–86.

MR2014-09-225 for Number Theory.pdf