Automorphic Forms and L-Functions for the Group Gl(n,r)

Klappentext This book presents a self-contained graduate-level introduction to the topic of L-functions. Zusammenfassung L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis! complex variable theory! and algebra. Inhaltsverzeichnis Introduction; 1. Discrete group actions; 2. Invariant differential operators; 3. Automorphic forms and L-functions for SL(2,Z); 4. Existence of Maass forms; 5. Maass forms and Whittaker functions for SL(n,Z); 6. Automorphic forms and L-functions for SL(3,Z); 7. The Gelbert-Jacquet lift; 8. Bounds for L-functions and Siegel zeros; 9. The Godement-Jacquet L-function; 10. Langlands Eisenstein series; 11. Poincaré series and Kloosterman sums; 12. Rankin-Selberg convolutions; 13. Langlands conjectures; Appendix. The GL(n)pack manual; References.

Product details

• Authors: D. Goldfeld, Dorian Goldfeld, Dorian (Columbia University Goldfeld, GOLDFELD DORIAN
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2015
• EAN: 9781107565029
• ISBN: 978-1-107-56502-9
• No. of pages: 516
• Series: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous