Congruences involving the reciprocals of central binomial coefficients

Details Congruences involving the reciprocals of central binomial coefficients Congruences involving the reciprocals of central binomial coefficients

2009-06-28

arxiv.org/abs/0906.5150v2

Mathematics

Number Theory

Scientific paper

We present several congruences modulo a power of prime $p$ concerning sums of
the following type $\sum_{k=1}^{p-1}{m^k\over k^r}{2k\choose k}^{-1}$ which
reveal some interesting connections with the analogous infinite series.

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