Non-vanishing of L-Functions and Applications
Language: English
Published by Birkhäuser, 2014
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 84.91
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - 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 the non-vanishing of these L-functions on the line Re(s) = 1. In the 1950's, a new theme was introduced by Birch and Swinnerton-Dyer.…
Seller Inventory # 9783034898430
- Title
- Non-vanishing of L-Functions and Applications
- Author
- Kumar V. Murty
- Publisher
- Birkhäuser
- Publication year
- 2014
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3034898436
- ISBN 13
- 9783034898430
- Item weight
- 330 grams
- Dimensions
- 235x155x12 mm
"Synopsis" may belong to another edition of this title.
Review
From the book reviews:
“This is the softcover reprint of a monograph that was awarded the Ferran Sunyer i Balaguer prize in 1996. It is devoted to a recurring theme in number theory, namely that the non-vanishing of L-functions implies important arithmetical results. ... Giving a well-informed overview of related results it will continue to be an important source of information for graduate students and researchers ... .” (Ch. Baxa, Monatshefte für Mathematik, Vol. 173, 2014)"About the title" may belong to another edition of this title.
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