Khodabakhsh Hessami Pilehrood

collaborators

2 papers

math.CO2014

Some $q$ -congruences for homogeneous and quasi-homogeneous multiple $q$ -harmonic sums

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso

We show some new Wolstenholme type $q$ -congruences for some classes of multiple $q$ -harmonic sums of arbitrary depth with strings of indices composed of ones, twos and threes. Most…

math.NT2012

New properties of multiple harmonic sums modulo $p$ and $p$ -analogues of Leshchiner's series

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, Roberto Tauraso

In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $({1}^{a}, c, {1}^{b}),$ $({2}^{a}, c, {2}^{b})$ and prov…

Some q-congruences for homogeneous and quasi-homogeneous multiple q-harmonic sums

New properties of multiple harmonic sums modulo p and p-analogues of Leshchiner's series

Some $q$ -congruences for homogeneous and quasi-homogeneous multiple $q$ -harmonic sums

New properties of multiple harmonic sums modulo $p$ and $p$ -analogues of Leshchiner's series