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

On the Functional Equations Satisfied by Eisenstein Series

by Robert P. Langlands
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Book cover type: Paperback
  • ISBN13: 9783540078722
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 340
  • Original Price: GBP 27.0
  • Language: English
  • Edition: 1976
  • Item Weight: 481 grams
  • BISAC Subject(s): Calculus

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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