Langlands, Robert P.
On the Functional Equations Satisfied by Eisenstein Series [electronic resource] / by Robert P. Langlands. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1976. - VIII, 340 p. online resource. - Lecture Notes in Mathematics, 544 0075-8434 ; . - Lecture Notes in Mathematics, 544 .
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.
9783540380702
10.1007/BFb0079929 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510
On the Functional Equations Satisfied by Eisenstein Series [electronic resource] / by Robert P. Langlands. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1976. - VIII, 340 p. online resource. - Lecture Notes in Mathematics, 544 0075-8434 ; . - Lecture Notes in Mathematics, 544 .
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.
9783540380702
10.1007/BFb0079929 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510