On the Functional Equations Satisfied by Eisenstein Series

By Robert P. Langlands

Introduction.- Statement of assumptions. Some properties of discrete groups satisfying the assumptions.- Definition of a cusp form (after Gelfand). Basic properties of cusp forms.- Definition of Eisenstein series. Investigation of the constant term in the Fourier expansion of an Eisenstein series. A variant of a formula of Selberg.- Some lemmas used in Sections 6 and 7.- Proof of the function equations for the Eisenstein series associated to cusp forms.- Proof of the functional equations for all Eisenstein series. Statement of theorem.- References.- Appendices

• Format: Paperback
• Language: English
• ISBN: 354007872X
• ISBN13: 9783540078722
• Release Date: October 1976
• Publisher: Springer
• Length: 340 Pages
• Weight: 1.06 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"