Congruences for sums of binomial coefficients

被引:10
|
作者
Sun, Zhi-Wei [1 ]
Tauraso, Roberto
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
关键词
D O I
10.1016/j.jnt.2007.01.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let q > 1 and m > 0 be relatively prime integers. We find an explicit period v(m)(q) such that for any integers n > 0 and r we have [GRAPHICS] whenever a is an integer with gcd (1 - (-a)(m), q) = 1, or a = -1 (mod q), or a 1 (mod q) and 2 vertical bar m, where [GRAPHICS] This is a further extension of a congruence of Glaisher. (C) 2007 Elsevier Inc. All rights reserved.
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页码:287 / 296
页数:10
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