Sign changes of coefficients of certain Dirichlet series

TL;DR

This paper establishes criteria for infinitely many sign changes in the coefficients of Dirichlet series with real coefficients, supported by applicable examples.

Contribution

It introduces new criteria for sign changes in Dirichlet series coefficients and demonstrates their applicability through specific examples.

Findings

Criteria for infinitely many sign changes established

Applicable to a broad class of Dirichlet series

Examples illustrating the criteria provided

Abstract

In this paper, we give criteria for infinitely many sign changes of the coefficients of any Dirichlet series if the coefficients are real numbers. We also provide examples where our criteria are applicable.