Mohamed El Bachraoui

activity

20102025

most citedCombinatorial Identities Via Phi Functions and Relatively Prime Subsets

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

Certain positive $q$ -series and inequalities for two-color partitions

George E. Andrews, Mohamed El Bachraoui

We consider some $q$ -series which depend on a pair of positive integers $(k, m)$ . While positivity of these series holds for the first few values of $(k, m)$ , the situation is quite…

math.NT2016

Short proofs for $q$ -Raabe formula and integrals for Jacobi theta functions

Mohamed El Bachraoui

We shall answer a question of Mező on the $q$ -analogue of the Raabe's integral formula for $0 < q < 1$ and we shall evaluate an integral involving the first theta function. Moreover, w…

math.NT2010★ 2 cited

Combinatorial Identities Via Phi Functions and Relatively Prime Subsets

Mohamed El Bachraoui

Let $n$ be a positive integer and let $A$ be nonempty finite set of positive integers. We say that $A$ is relatively prime if $g cd (A) = 1$ and that $A$ is relatively prime to $n$ i…

Certain positive q-series and inequalities for two-color partitions

Short proofs for q-Raabe formula and integrals for Jacobi theta functions

Combinatorial Identities Via Phi Functions and Relatively Prime Subsets

Certain positive $q$ -series and inequalities for two-color partitions

Short proofs for $q$ -Raabe formula and integrals for Jacobi theta functions