| 書目名稱 | Non-vanishing of L-Functions and Applications | | 編輯 | M. Ram Murty,V. Kumar Murty | | 視頻video | http://file.papertrans.cn/668/667156/667156.mp4 | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | This monograph brings together a collection of results on the non-vanishing of L- functions. The presentation, though based largely on the original papers, is suitable for independent study. A number of exercises have also been provided to aid in this endeavour. The exercises are of varying difficulty and those which require more effort have been marked with an asterisk. The authors would like to thank the Institut d‘Estudis Catalans for their encouragement of this work through the Ferran Sunyer i Balaguer Prize. We would also like to thank the Institute for Advanced Study, Princeton for the excellent conditions which made this work possible, as well as NSERC, NSF and FCAR for funding. Princeton M. Ram Murty August, 1996 V. Kumar Murty Introduction Since the time of Dirichlet and Riemann, the analytic properties of L-functions have been used to establish theorems of a purely arithmetic nature. The distri- bution of prime numbers in arithmetic progressions is intimately connected with non-vanishing properties of various L-functions. With the subsequent advent of the Tauberian theory as developed by Wiener and Ikehara, these arithmetical the- orems have been shown to be equivalent to | | 出版日期 | Book 1997 | | 關(guān)鍵詞 | Number theory; alegbraic geometry; arithmetic; number theory; prime number | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8956-8 | | isbn_softcover | 978-3-0348-9843-0 | | isbn_ebook | 978-3-0348-8956-8Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel AG 1997 |
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