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math.NT2010
Congruences for central binomial sums and finite polylogarithms
Sandro Mattarei, Roberto Tauraso
We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomial coefficients .
math.NT2010
The sum for q a power of 3
Sandro Mattarei
We prove that if q>1 is a power of 3, as recently conjectured by Z.W. Sun and R. Tauraso. Our more precise result actually impl…