Elementary Theory of L-Functions and Eisenstein Series

Klappentext An elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Haruzo Hida, Haruzo (University of California Hida, None
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 11.02.1993
• EAN: 9780521435697
• ISBN: 978-0-521-43569-7
• No. of pages: 400
• Series: London Mathematical Society Student Texts; London Mathematical Society St; London Mathematical Society Student Texts
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics