%0 Journal Article %T Congruences involving the reciprocals of central binomial coefficients %A Roberto Tauraso %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0906.5150v2