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On the Functional Equations Satisfied by Eisenstein Series de Robert P. Langlands

On the Functional Equations Satisfied by Eisenstein Series: Lecture Notes in Mathematics, cartea 544

Autor Robert P. Langlands
en Limba Engleză Paperback – 20 oct 1976

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Specificații

ISBN-13: 9783540078722
ISBN-10: 354007872X
Pagini: 344
Ilustrații: VIII, 340 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.48 kg
Ediția:1976
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

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Research

Cuprins

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