T. H. Pilehrood

activity

20072021

most citedCongruences arising from Apéry-type series for zeta values

17 citations · 60 across the 14 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.NT2011★ 8 cited

Congruences concerning Jacobi polynomials and Apéry-like formulae

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso

Let $p > 5$ be a prime. We prove congruences modulo $p^{3 - d}$ for sums of the general form $\sum_{k = 0}^{(p - 3) /2} (k 2 k) t^{k} / (2 k + 1)^{d + 1}$ and $\sum_{k=1}^{(p-1)/2}\binom{2k}{k}t…

math.NT2011★ 17 cited

Congruences arising from Apéry-type series for zeta values

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Recently, R. Tauraso established finite $p$ -analogues of famous Apéry series for $ζ (2)$ and $ζ (3) .$ In this paper, we present several congruences for finite central binomial sums a…

math.NT2011

Bivariate identities for values of the Hurwitz zeta function and supercongruences

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

In this paper, we prove a new identity for values of the Hurwitz zeta function which contains as particular cases Koecher's identity for odd zeta values, the Bailey-Borwein-Bradley…