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Zeta Functions over Zeros of Zeta Functions

Zeta Functions over Zeros of Zeta Functions
Catalogue Information
Field name Details
Dewey Class 512.7
Title Zeta Functions over Zeros of Zeta Functions ([Ebook]) / by André. Voros
Author Voros, André
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2010.
Physical Details XVII, 163 pages : online resource.
Series Lecture Notes of the Unione Matematica Italiana 1862-9113 ; ; 8
ISBN 9783642052033
Summary Note The famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions) are analyzed through several zeta functions built over those zeros. These âsecond-generationâ zeta functions have surprisingly many explicit, yet largely unnoticed properties, which are surveyed here in an accessible and synthetic manner, and then compiled in numerous tables. No previous book has addressed this neglected topic in analytic number theory. Concretely, this handbook will help anyone faced with symmetric sums over zeros like Riemannâs. More generally, it aims at reviving the interest of number theorists and complex analysts toward those unfamiliar functions, on the 150th anniversary of Riemannâs work.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-642-05203-3
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Catalogue Information 27927 Beginning of record . Catalogue Information 27927 Top of page .

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