On some Integrals associated with the Riesz function

TL;DR

This paper investigates integrals related to the Riesz function, connecting them to other number-theoretic functions and discussing their properties to deepen understanding of their mathematical structure.

Contribution

It introduces new integral relations involving the Riesz function and links them to existing number theory functions, providing insights into their properties.

Findings

Established relations between Riesz integrals and number-theoretic functions

Commented on the properties of these functions

Enhanced understanding of the mathematical structure of Riesz-related integrals

Abstract

We explore some integrals associated with the Riesz function and establish relations to other functions from number theory that have appeared in the literature. We also comment on properties of these functions.