Elementary Theory of L-functions and Eisenstein Series - Haruzo Hida

Elementary Theory of L-functions and Eisenstein Series

(Autor)

Buch | Softcover
400 Seiten
1993
Cambridge University Press (Verlag)
978-0-521-43569-7 (ISBN)
93,50 inkl. MwSt
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.
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.

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.

Erscheint lt. Verlag 11.2.1993
Reihe/Serie London Mathematical Society Student Texts
Verlagsort Cambridge
Sprache englisch
Maße 151 x 228 mm
Gewicht 571 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-521-43569-2 / 0521435692
ISBN-13 978-0-521-43569-7 / 9780521435697
Zustand Neuware
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