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2018•Oberwolfach ReportsRequires access

Mini-Workshop: Interplay between Number Theory and Analysis for Dirichlet Series

Frédéric Bayart, Kaisa Matomäki, Eero Saksman, Kristian Seip

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Abstract

In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional combinations of expertise from harmonic, functional, and complex analysis, and especially from analytic number theory. This MFO workshop provided an ideal arena for the exchange of ideas needed to nurture further progress and to solve important problems.

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What this paper is about

In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional combinations of expertise from harmonic, functional, and complex analysis, and especially from analytic number theory. This MFO workshop provided an ideal arena for the exchange of ideas needed to nurture further progress and to solve important problems.

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Available abstract

In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional combinations of expertise from harmonic, functional, and complex analysis, and especially from analytic number theory. This MFO workshop provided an ideal arena for the exchange of ideas needed to nurture further progress and to solve important problems.

Key concepts: Analytic number theory, Dirichlet series, Nature versus nurture, Series (stratigraphy), Dirichlet distribution, Complex-valued function, Dirichlet L-function, Computer science

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