| 书目名称 | Zeta Functions over Zeros of Zeta Functions |
| 编辑 | André Voros |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes of the Unione Matematica Italiana |
| 描述 | .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 150.th. anniversary of Riemann’s work.. |
| 出版日期 | Book 2010 |
| 关键词 | L-functions; Mellin transforms; Prime; Riemann Zeros; Riemann zeta function; Zeta Functions; Zeta-regulari |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-05203-3 |
| isbn_softcover | 978-3-642-05202-6 |
| isbn_ebook | 978-3-642-05203-3Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | Springer-Verlag Berlin Heidelberg 2010 |
发表于 2025-3-21 16:29:23
