M. E. Bachraoui

activity

20092026

most citedCombinatorial Identities Involving the Mobius Function

4 citations · 9 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016

Towards characterising polynomiality of $\frac{1 - q ^{b}}{1 - q ^{a}} [m n]$ and applications

Mohamed El Bachraoui

In this note we shall give conditions which guarantee that $\frac{1 - q ^{b}}{1 - q ^{a}} [m n] \in Z [q]$ holds. We shall provide a full characterisation for $\frac{1-q^b}{1-q^a}…

math.NT2016

On alternating sums of binomial coefficients and $q$ -binomial coefficients

Mohamed El Bachraoui

In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoret…

Towards characterising polynomiality of 1−qa1−qb​[mn​] and applications

On alternating sums of binomial coefficients and q-binomial coefficients

Towards characterising polynomiality of $\frac{1 - q ^{b}}{1 - q ^{a}} [m n]$ and applications

On alternating sums of binomial coefficients and $q$ -binomial coefficients