Asymptotic free probability for arithmetic functions and factorization of Dirichlet series

Ilwoo Cho; Timothy Gillespie; Palle E. T Jorgensen

doi:10.1007/s13324-015-0117-1

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Asymptotic free probability for arithmetic functions and factorization of Dirichlet series

Journal article

Peer reviewed

Asymptotic free probability for arithmetic functions and factorization of Dirichlet series

Ilwoo Cho, Timothy Gillespie and Palle E. T Jorgensen

Analysis and mathematical physics, Vol.6(3), pp.255-295

09/01/2016

DOI: 10.1007/s13324-015-0117-1

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Abstract

In this paper, we study a free-probabilistic model on the algebra of arithmetic functions by considering their asymptotic behavior. As an application, we concentrate on arithmetic functions arising from certain representations attached to the general linear group . We then study conditions under which a Dirichlet series may be factored into a product of automorphic L-functions using asymptotic freeness.

Mathematics

Physical Sciences

Mathematics, Applied

Science & Technology

Details

Title: Subtitle: Asymptotic free probability for arithmetic functions and factorization of Dirichlet series
Creators: Ilwoo Cho - Saint Ambrose University
Timothy Gillespie - Saint Ambrose University
Palle E. T Jorgensen - Iowa City, USA
Resource Type: Journal article
Publication Details: Analysis and mathematical physics, Vol.6(3), pp.255-295
Publisher: SPRINGER BASEL AG
DOI: 10.1007/s13324-015-0117-1
ISSN: 1664-2368
eISSN: 1664-235X
Number of pages: 41
Grant note: 2010117 / bi-national US-Israel Science Foundation
Language: English
Date published: 09/01/2016
Academic Unit: Mathematics
Record Identifier: 9984240776502771

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