New Congruences for Central Binomial Coefficients

Abstract

Let p be a prime and let a be a positive integer. In this paper we determine ∑pa−1 k=0 ( 2k k+d ) /mk and ∑p−1 k=1 ( 2k k+d ) /(kmk−1) modulo p for all d = 0, . . . , pa, where m is any integer not divisible by p. For example, we show that if p 6= 2, 5 then p−1 ∑ 

Topics

Cite this paper

@inproceedings{Sun2009NewCF, title={New Congruences for Central Binomial Coefficients}, author={Zhi-Wei Sun and Roberto Tauraso}, year={2009} }