Robert P. Langlands

On the Functional Equations Satisfied by Eisenstein Series

• Broschiertes Buch

Produktbeschreibung

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

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Produktdetails

• Lecture Notes in Mathematics 544
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07872-2
• 1976.
• Seitenzahl: 344
• Erscheinungstermin: 20. Oktober 1976
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 552g
• ISBN-13: 9783540078722
• ISBN-10: 354007872X
• Artikelnr.: 23554418

Inhaltsangabe

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