Elementary Theory of L-functions and Eisenstein Series

AvHaruzo Hida

Inbunden, Engelska, 1993

Del 26 i serien London Mathematical Society Student Texts

1 942 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

989 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:1993-02-11
Mått:157 x 235 x 25 mm
Vikt:695 g
Format:Inbunden
Språk:Engelska
Serie:London Mathematical Society Student Texts
Antal sidor:400
Förlag:Cambridge University Press
ISBN:9780521434119

Utforska kategorier

Recensioner i media

"...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

Innehållsförteckning

Suggestions to the reader; 1. Algebraic number theory; 2. Classical L-functions and Eisenstein series; 3. p-adic Hecke L-functions; 4. Homological interpretation; 5. Elliptical modular forms and their L-functions; 6. Modular forms and cohomology groups; 7. Ordinary L-adic forms, two-variable p-adic Rankin products and Galois representations; 8. Functional equations of Hecke L-functions; 9. Adelic Eisenstein series and Rankin products; 10. Three-variable p-adic Rankin products; Appendix; References; Answers to selected exercises; Index.