A simultaneous generalization of the theorems of Chevalley-Warning and Morlaye

TL;DR

This paper presents a unified generalization of the Chevalley-Warning and Morlaye theorems, expanding their applicability in algebraic geometry and number theory.

Contribution

It introduces a new theorem that simultaneously extends both Chevalley-Warning and Morlaye results, unifying their frameworks.

Findings

Unified theorem encompassing Chevalley-Warning and Morlaye

Broader conditions for polynomial solutions over finite fields

Potential applications in algebraic geometry and number theory

Abstract

Inspired by recent work of I. Baoulina, we give a simultaneous generalization of the theorems of Chevalley-Warning and Morlaye.