CONGRUENCES CONCERNING JACOBI POLYNOMIALS AND APERY-LIKE FORMULAE

被引：13

作者：

Pilehrood, Kh Hessami ^{[1
]}

Pilehrood, T. Hessami ^{[1
]}

Tauraso, R. ^{[2
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 07期

关键词：

Congruence; finite central binomial sum; harmonic sum; Bernoulli number; Euler number; Jacobi polynomials; CENTRAL BINOMIAL COEFFICIENTS; BERNOULLI; NUMBERS;

D O I：

10.1142/S1793042112501035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2)(k=0) ((2k)(k))t(k)/(2k + 1)(d+1) and Sigma((p-1)/2)(k=1) ((2k)(k))t(k)/kd with d = 0, 1. We also consider the special case t = (-1)(d)/16 of the former sum, where the congruences hold modulo p(5-d).

引用

页码：1789 / 1811

页数：23

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