On the Functional Equations Satisfied by Eisenstein Series

von Robert P. Langlands

344 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540078722
• Sprache: Englisch
• Erscheinungsdatum: 20.10.1976
• Größe: 235 x 155 mm
• Verlag: Springer