Congruences involving the reciprocals of central binomial coefficients

2009/06/28 by Roberto Tauraso, Tauraso, Roberto
Mathematics · #11A07 #11B65 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A07 #msc:11B65

paper · pdf · doi:10.48550/arxiv.0906.5150

arxiv created 2009/12/20 · arxiv updated 2010/01/07

Abstract

We present several congruences modulo a power of prime p concerning sums of the following type ∑_k=1^p-1m^k\over k^r2k\choose k^-1 which reveal some interesting connections with the analogous infinite series.

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