Author | Langlands, Robert P. author |
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Title | On the Functional Equations Satisfied by Eisenstein Series [electronic resource] / by Robert P. Langlands |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1976 |
Connect to | http://dx.doi.org/10.1007/BFb0079929 |
Descript | VIII, 340 p. online resource |
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