Dorian Goldfeld

Automorphic Forms and L-Functions for the Group GL(n,R)

• Gebundenes Buch

Produktbeschreibung

An entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students. The volume also contains many new results in the area. The exposition provides complete detailed proofs of results in an easy to read format using many examples and without the need to know and remember many complex definitions. Many of the ideas are incorporated into computer functions to allow the reader to explore them computationally.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 520
• Erscheinungstermin: 30. Oktober 2015
• Englisch
• Abmessung: 235mm x 157mm x 35mm
• Gewicht: 987g
• ISBN-13: 9780521837712
• ISBN-10: 0521837715
• Artikelnr.: 21938288

Autorenporträt

Dorian Goldfeld is a Professor in the Department of Mathematics at Columbia University

Inhaltsangabe

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.