On the Functional Equations Satisfied by Eisenstein Series [electronic resource] / by Robert P. Langlands.
Material type: TextSeries: Lecture Notes in Mathematics ; 544Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1976Description: VIII, 340 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540380702Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK662 |
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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