More congruences from Apery-like formulae

Details More congruences from Apery-like formulae More congruences from Apery-like formulae

2011-10-18

arxiv.org/abs/1110.4013v3

Mathematics

Number Theory

This is a preliminary draft and more refined versions will follow

Scientific paper

We present some congruences modulo $p^{6-d}$ for sums of the type
$\sum_{k=0}^{(p-3)/2}x^k{2k\choose k}/(2k+1)^d$, for $d=1,2,3$ where $p>5$ is a
prime.

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