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On the Functional Equations Satisfied by Eisenstein Series

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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
Categories:
Year:
1976
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
english
Pages:
340 / 343
ISBN 10:
0-387-07872-X
ISBN 13:
9780387078724
Series:
Lecture Notes in Mathematics 544
File:
DJVU, 1.90 MB
Download (djvu, 1.90 MB)

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