A. Diene

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math.NT2022

Elements of high order in finite fields specified by binomials

Victor Bovdi, Adama Diene, Roman Popovych

Let $F_{q}$ be a field with $q$ elements, where $q$ is a power of a prime number $p \geq 5$ . For any integer $m \geq 2$ and $a \in F_{q}^{*}$ such that the polynomial $x^{m} - a$ is irreducible…

math.NT2012

On arithmetic sums involving divisor functions in two variables

Adama Diene, Mohamed El Bachraoui

We prove the analogue of an identity of Huard, Ou, Spearman and Williams and apply it to evaluate a variety of sums involving divisor functions in two variables. It turns out that…