Elementary Theory of L-functions and Eisenstein Series - Brossura

Hida, Haruzo

Brossura

ISBN 10: 0521435692 ISBN 13: 9780521435697

Casa editrice: Cambridge University Press, 2010

Riassunto

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.

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Recensione:

"...its style is unusually lively; even in the exposition of classical results, one feels that the proof has been reinvented and is often illuminating...a large part of the text explains theories and results due to the author; behind a classical title are hidden many theorems never published in book form until now...one must be thankful to the author to have written down the first accessible presentation of the various aspects of his theory...highly reommended to graduate students and more advanced researchers wishing to learn this powerful theory." Jacques Tilouine, Mathematical Reviews

"...this is a comprehensive and important book-one that deserves to be studied carefully by any serious student of L-functions and modular forms." Glen Stevens,Bulletin of the American Mathematical Society

Descrizione del libro:

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics worldwide and here provides the reader with an elementary insight into the theory of L-functions.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2010
• ISBN 10: 0521435692
• ISBN 13: 9780521435697
• Rilegatura: Copertina flessibile
• Numero di pagine: 400