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<図書>
Zeta functions over zeros of zeta functions

責任表示 André Voros
シリーズ Lecture notes of the Unione Matematica Italiana ; 8
データ種別 図書
出版情報 Berlin : Springer , c2010
本文言語 英語
大きさ xvi, 163 p. ; 24 cm
概要 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 'sec...nd-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. 続きを見る
電子版へのリンク

所蔵情報


: [pbk.] 理系図3F 数理独自 VORO/40/2 2010
023212009006584

書誌詳細

一般注記 Includes bibliographical references(p. 153-158) and index
著者標目 Voros, A. (André)
書誌ID 1001410281
ISBN 9783642052026
NCID BB00547915
巻冊次 : [pbk.] ; ISBN:9783642052026
登録日 2010.01.08
更新日 2017.02.18