Bernoulli numbers, Wolstenholme's theorem, and p5 variations of Lucas' theorem

被引：27

作者：

Zhao, Jianqiang ^{[1
]}

机构：

[1] Eckerd Coll, Dept Math, St Petersburg, FL 33711 USA

来源：

JOURNAL OF NUMBER THEORY | 2007年 / 123卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jnt.2006.05.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we shall improve some congruences of G.S. Kazandzidis and D.F. Bailey to higher prime power moduli, by studying the relation between irregular pairs of the form (p, p - 3) and a refined version of Wolstenholme's theorem. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：18 / 26

页数：9

共 50 条

[1] THE TORELLI THEOREM FOR P5 CUBICS
VOISIN, C
[J]. INVENTIONES MATHEMATICAE, 1986, 86 (03) : 577 - 601
[2] A speciality theorem for curves in P5
Di Gennaro, Vincenzo
Franco, Davide
[J]. GEOMETRIAE DEDICATA, 2007, 129 (01) : 89 - 99
[3] A speciality theorem for curves in P5
Vincenzo Di Gennaro
Davide Franco
[J]. Geometriae Dedicata, 2007, 129 : 89 - 99
[4] A THEOREM ON THE NUMERATORS OF THE BERNOULLI NUMBERS
GIRSTMAIR, K
[J]. AMERICAN MATHEMATICAL MONTHLY, 1990, 97 (02): : 136 - 138
[5] 2 P3 VARIATIONS OF LUCAS THEOREM
BAILEY, DF
[J]. JOURNAL OF NUMBER THEORY, 1990, 35 (02) : 208 - 215
[6] The p-adic Approach to Wolstenholme's Theorem
孙琦
洪绍方
[J]. Communications in Mathematical Research, 2001, (02) : 226 - 230
[7] An analog of Wolstenholme's theorem
Cohen, Boaz
[J]. MATHEMATICAL COMMUNICATIONS, 2023, 28 (01) : 69 - 83
[8] Wolstenholme's theorem revisited
Kanrar, Arpan
[J]. ELEMENTE DER MATHEMATIK, 2023, 78 (01) : 35 - 36
[9] A Consequence of Wolstenholme's Theorem
Tyler, Douglas B.
[J]. AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (01): : 85 - 86
[10] A generalization of Wolstenholme's theorem
Bayat, M
[J]. AMERICAN MATHEMATICAL MONTHLY, 1997, 104 (06): : 557 - 560

← 1 2 3 4 5 →