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MR2013年9月份数论最新文献题录(附件266条)
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关于美国《数学评论》（MR）数据库题录数论研究最新信息，已经连续报道有几年了，2013年1-8月的逐月统计结果已有报道，今天介绍MR数据库2013年9月份收录情况，新增题录9501条，其中数论研究266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（由于附件太大，上传受限，作为文献上传后，同样可以免费下载浏览：MR数据库2013年9月题录数论文献266条 ）。
MR3089132 Ren, Gang Lian; Bai, Wen
Distribution of generalized Cochrane sums over the quarter interval. (Chinese)
J. Inn. Mong. Norm. Univ. Nat. Sci. 42 (2013), no. 1, 1–4.
MR3086509 Mahadeva Naika, M. S.; Chandankumar, S.; Harish, M.
Some new modular relations for Ramanujan's theta function.
Indian J. Math. 55 (2013), no. 1, 41–55.
MR3065809 Griffin, Michael; Ono, Ken; Rolen, Larry
Ramanujan's mock theta functions.
Proc. Natl. Acad. Sci. USA 110 (2013), no. 15, 5765–5768.
MR3071097 Kim, Dong Han; Tan, Bo; Wang, Baowei; Xu, Jian
Kurzweil type metrical Diophantine properties in the field of formal Laurent series.
J. Math. Anal. Appl. 407 (2013), no. 2, 250–262.
MR3070934 Hirano, Yasuyuki; Matsuoka, Manabu
Finite rings and Wilson's theorem.
Turkish J. Math. 37 (2013), no. 4, 571–576.
MR3070850 Pricopie, Steluţa; Udrişte, Constantin
Multiplicative group law on the folium of Descartes.
Balkan J. Geom. Appl. 18 (2013), no. 1, 54–70.
MR3070707 Soldo, Ivan
On the existence of Diophantine quadruples in Z[−2−−−√].
Z[−2−−−√]. Miskolc Math. Notes 14 (2013), no. 1, 265–277.
MR3070694 Irmak, Nurettin; Alp, Murat
Tribonacci numbers with indices in arithmetic progression and their sums.
Miskolc Math. Notes14 (2013), no. 1, 125–133.
MR3070517 Stover, Matthew
On the number of ends of rank one locally symmetric spaces.
Geom. Topol. 17 (2013), no. 2, 905–924.
Tao, Terence; Ziegler, Tamar
Erratum to "The primes contain arbitrarily long polynomial progressions'' [MR2461509].
Acta Math. 210 (2013), no. 2, 403–404.
MR3070160 Lbekkouri, Akram
On the discriminant in local number fields.
Lobachevskii J. Math. 34 (2013), no. 2, 152–162.
MR3070077 Sun, Zhi-Hong
Some inversion formulas and formulas for Stirling numbers.
Graphs Combin. 29 (2013), no. 4, 1087–1100.
MR3069077 Chen, Imin; Lee, Yoonjin
Explicit isogeny theorems for Drinfeld modules.
Pacific J. Math. 263 (2013), no. 1, 87–116.
MR3068234 Larcombe, Peter J.; Bagdasar, Ovidiu D.
On a result of Bunder involving Horadam sequences: a proof and generalization.
Fibonacci Quart. 51 (2013), no. 2, 174–176.
MR3068231 Avila, Brandon; Chen, Yongyi
On moduli for which the Lucas numbers contain a complete residue system.
Fibonacci Quart.51 (2013), no. 2, 151–152.
MR3068229 Meštrović, Romeo
A Lucas type theorem modulo prime powers.
Fibonacci Quart. 51 (2013), no. 2, 142–146.
MR3068228 Avart, Christian
A result about cycles in Ducci sequences.
Fibonacci Quart. 51 (2013), no. 2, 137–141.
MR3068227 Collins, Alexander; Dedrickson, Charles; Wang, Hua
Binary words, n-color compositions and bisection of the Fibonacci numbers.
n-color compositions and bisection of the Fibonacci numbers.
Fibonacci Quart. 51 (2013), no. 2, 130–136.
-functions of elliptic curves and Fibonacci numbers.
Fibonacci Quart. 51 (2013), no. 2, 112–118.
MR3068223 Cosgrave, John B.; Dilcher, Karl
Pairs of reciprocal quadratic congruences involving primes.
Fibonacci Quart. 51 (2013), no. 2, 98–111.
MR3088498 Kılıç, E.; Stănică, P.
General approach in computing sums of products of binary sequences.
Hacet. J. Math. Stat. 42 (2013), no. 1, 1–7.
MR3088435 Mollin, Richard A.
Exponent two in class groups of real quadratic fields with discriminant d=
k2s2±4s and prime-production of Euler-Rabinowitsch polynomials.d=
k2s2±4sJP J. Algebra Number Theory Appl. 28 (2013), no. 2, 181–214.
MR3088431 Johari, Mohamat Aidil Mohamat; Atan,
Kamel Ariffin Mohd; Sapar, Siti Hasana
A combinatorial proof for a relation between certain types of integers.
JP J. Algebra Number Theory Appl. 28 (2013), no. 2, 129–139.
MR3069792 Ryoo, C. S.
Some identities on the generalized q-Euler polynomials with weak weight.
q-Euler polynomials with weak weight.
Int. Math. Forum 8 (2013), no. 17-20, 983–988.
MR3069789 Terai, Nobuhiro; Takakuwa, Kei
On the exponential Diophantine equation a2x+axby+b2y=cz.
a2x+axby+b2y=cz. Int. Math. Forum 8 (2013), no. 17-20, 957–965.MR3069787 Jakimczuk, Rafael
Asymptotic formulae for the square root of the n-th perfect power.
n-th perfect power. Int. Math. Forum 8 (2013), no. 17-20, 945–948.MR3069786 Jakimczuk, Rafael
Sums of greatest prime factors. Int. Math. Forum 8 (2013), no. 17-20, 937–943.
MR3069360 Çiperiani, Mirela; Stix, Jakob
Weil-Chatelet divisible elements in Tate-Shafarevich groups I:
The Bashmakov problem for elliptic curves over Q.
Q. Compos. Math. 149 (2013), no. 5, 729–753.MR3069056 Fouvry, étienne; Jouve, Florent
A positive density of fundamental discriminants with large regulator.
Pacific J. Math. 262 (2013), no. 1, 81–107.
MR3066781 Rosso, Giovanni
Dérivée en s=1 de la fonction L p-adique du carré symétrique d'une
courbe elliptique sur un corps totalement réel.
s=1 de la fonction L p-adique du carré symétrique d'une courbe elliptique sur un corps totalement réel. (French)
[Derivative at
s=1 of the p-adic L-function of the symmetric square of an elliptic curve over a totally real field]
C. R. Math. Acad. Sci. Paris 351 (2013), no. 7-8, 251–254.
MR3063725 Yalçiner, Aynur
A matrix approach for divisibility properties of the generalized Fibonacci sequence.
Discrete Dyn. Nat. Soc.2013, Art. ID 829535, 4 pp.
MR3086405 Zaharescu, Alexandru; Zaki, Mohammad
On the radical of linear forms over the ring of arithmetical functions.
Kumamoto J. Math. 26 (2013), 1–8.
MR3068960 Vinh, Le Anh
On the volume set of point sets in vector spaces over finite fields.
Proc. Amer. Math. Soc. 141 (2013), no. 9, 3067–3071.
MR3068950 Graves, Hester; Murty, M. Ram
A family of number fields with unit rank at least 4 that has Euclidean ideals.
Proc. Amer. Math. Soc. 141 (2013), no. 9, 2979–2990.
MR3068947 Coleman, Robert F. The Eisenstein family.
Proc. Amer. Math. Soc. 141 (2013), no. 9, 2945–2950.
MR3068622 Mortici, Cristinel; Chen, Chao-Ping
On the harmonic number expansion by Ramanujan.
J. Inequal. Appl. 2013, 2013:222, 10 pp.
MR3063139 Marshall, Susan H.; Smith, Donald R.
Feedback, control, and the distribution of prime numbers.
Math. Mag. 86 (2013), no. 3, 189–203.
MR3063122 Rankin, S. A.
The Euclidean algorithm and the linear Diophantine equation ax+by=gcd(a,b).
ax+by=gcd(a,b). Amer. Math. Monthly 120 (2013), no. 6, 562–564.MR3063120 Henry, Claire-Soizic
Coxeter friezes and triangulations of polygons.
Amer. Math. Monthly 120 (2013), no. 6, 553–558.
.
Amer. Math. Monthly 120 (2013), no. 6, 546–552.
MR3063117 Bliss, Nathan; Fulan, Ben; Lovett, Stephen; Sommars, Jeff
Strong divisibility, cyclotomic polynomials, and iterated polynomials.
Amer. Math. Monthly 120 (2013), no. 6, 519–536.
MR3090236 Young, Matthew P. The third moment of quadratic Dirichlet L-functions.
Selecta Math. (N.S.) 19 (2013), no. 2, 509–543.
MR3068593 Leopardi, Paul
Discrepancy, separation and Riesz energy of finite point sets on the unit sphere.
Adv. Comput. Math. 39 (2013), no. 1, 27–43.
MR3068549 Katz, Daniel J.
Asymptotic L4 norm of polynomials derived from characters.
L4norm of polynomials derived from characters.
Pacific J. Math. 263 (2013), no. 2, 373–398.
MR3068548 Jones, Nathan
Elliptic aliquot cycles of fixed length. Pacific J. Math. 263 (2013), no. 2, 353–371.
MR3068402 Heiermann, Volker; Opdam, Eric
On the tempered L-functions conjecture.
L-functions conjecture. Amer. J. Math. 135 (2013), no. 3, 777–799.MR3067121 Schleischitz, Johannes
Diophantine approximation and special Liouville numbers.
Commun. Math. 21 (2013), no. 1, 39–76.
MR3066827 Karaatlı, Olcay; Keskin, Refik
Integral points on the elliptic curve y2=x3+27x−62.
y2=x3+27x−62. J. Inequal. Appl. 2013, 2013:221, 6 pp.MR3066816 Hofer, Roswitha
A construction of low-discrepancy sequences involving finite-row digital (t,s)-sequences.
(t,s)-sequences. Monatsh. Math.171 (2013), no. 1, 77–89.MR3066814 Fukuyama, Katusi
Metric discrepancy results for alternating geometric progressions.
Monatsh. Math. 171 (2013), no. 1, 33–63.
MR3066813 Bilu, Yuri; Strambi, Marco; Surroca, Andrea
Quantitative Chevalley-Weil theorem for curves.
Monatsh. Math. 171 (2013), no. 1, 1–32.
MR3066777 Murty, M. Ram; Petersen, Kathleen L.
A Bombieri-Vinogradov theorem for all number fields.
Trans. Amer. Math. Soc. 365 (2013), no. 9, 4987–5032.
MR3066773 Radu, Cristian-Silviu
Proof of a conjecture by Ahlgren and Ono on the non-existence of
certain partition congruences.
Trans. Amer. Math. Soc. 365 (2013), no. 9, 4881–4894.
MR3066540 Ryoo, C. S.
Some relationships between the tangent polynomials and Bernstein polynomials.
Int. J. Math. Anal. (Ruse) 7 (2013), no. 33-36, 1723–1730.
MR3066510 Mahadeva Naika, M. S.; Bairy, K. Sushan
Some modular equations in the form of Schläfli.
Ital. J. Pure Appl. Math. No. 30 (2013), 233–252.
MR3063883 Pintér, á.; Srivastava, H. M.
Addition theorems for the Appell polynomials and the associated classes of
polynomial expansions. Aequationes Math. 85 (2013), no. 3, 483–495.
MR3066452 Agashe, Amod; Heaton, Randy
Computing intersection numbers between abelian varieties associated to
subspaces of modular forms. J. Symbolic Comput. 57 (2013), 70–77.
MR3066441 Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán
Effective results for hyper- and superelliptic equations over number fields.
Publ. Math. Debrecen 82 (2013), no. 3-4, 727–756.
MR3066437 Bremner, Andrew; Ulas, Maciej
Rational points in geometric progressions on certain hyperelliptic curves.
Publ. Math. Debrecen 82 (2013), no. 3-4, 669–683.
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