Some open questions in analysis for Dirichlet series

TL;DR

This paper discusses open problems and potential research directions in the theory of Hardy spaces of Dirichlet series and their connections to number theory, highlighting the emerging mathematical landscape.

Contribution

It introduces new open questions and explores research avenues in Hardy spaces of Dirichlet series and their relation to infinite-dimensional torus analysis.

Findings

Identification of key open problems in Dirichlet series analysis

Connections established between Hardy spaces and number theory

Potential research directions outlined for future exploration

Abstract

We present some open problems and describe briefly some possible research directions in the emerging theory of Hardy spaces of Dirichlet series and their intimate counterparts, Hardy spaces on the infinite-dimensional torus. Links to number theory are emphasized throughout the paper.