On the Functional Equations Satisfied by Eisenstein Series

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Detalles Bibliográficos
Autor principal: Langlands, Robert Phelan, 1936-...., mathématicien
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colección:Lecture notes in mathematics 544
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Edition sous un autre format:• On the functional equations satisfied by Eisenstein series, Robert P. Langlands, 1976, Berlin [etc.], Springer, 1 vol. (V-337 p.), Lecture notes in mathematics, 0-387-07872-X
• On the Functional Equations Satisfied by Eisenstein Series, Texte imprimé, 9783662188408
Tabla de Contenidos:
  • 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.