On the Functional Equations Satisfied by Eisenstein Series

✍ Scribed by Robert P. Langlands (auth.)

• Book ID: 127450228
• Publisher: Springer
• Year: 1976
• Tongue: English
• Weight: 2 MB
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN: 3540380701
• DOI: 10.1007/BFb0079929

✦ Synopsis

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

✦ Subjects

Mathematics, general