On the functional equations satisfied by Eisenstein series / Robert P. Langlands.
Material type:
TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 544.Publication details: Berlin ; New York : Springer-Verlag, 1976.Description: 1 online resource (v, 337 pages)Content type: - text
- computer
- online resource
- 9783540380702
- 3540380701
- Eisenstein series
- Functional equations
- Lie groups
- Automorphic forms
- Séries d'Eisenstein
- Équations fonctionnelles
- Groupes de Lie
- Formes automorphes
- Ecuaciones funcionales
- Grupos de Lie
- Eisenstein, Series de
- Formas automórficas
- Automorphic forms
- Eisenstein series
- Functional equations
- Lie groups
- Eisenstein-Reihe
- Funktionalgleichung
- 515.243 22
- QA3 .L28 no. 544 QA404
- digitized 2010 HathiTrust Digital Library committed to preserve
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eBook
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Includes bibliographical references and index.
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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