Zeta functions over zeros of zeta functions
By: André Voros
Series: Lecture notes of the Unione Matematica Italiana -- 8; Lecture notes of the Unione Matematica Italiana -- 8.
Publisher: Springer; UMI
Published: 2010
Place of publication: Heidelberg; New York
Language: eng
Number of pages: 163
ISBN-13: 9783642052026; 9783642052033
Subjects: Zeta Functions
Description: "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 'second-generation' 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 Riemann's. More generally, it aims at reviving the interest of number theorists and complex analysts toward those unfamiliar functions, on the 150th anniversary of Riemann's work."--Back cover.
Notes: Includes bibliographical references and index.