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Automorphic Forms, Representations and L-Functions

Automorphic Forms, Representations and L-Functions. W. Casselman

Automorphic Forms, Representations and L-Functions


Book Details:

Author: W. Casselman
Date: 30 Dec 1979
Publisher: American Mathematical Society
Language: English
Format: Paperback::322 pages
ISBN10: 0821814354
ISBN13: 9780821814352
Publication City/Country: Providence, United States
File size: 12 Mb
Dimension: 176.02x 254x 18.03mm::589.67g

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Automorphic Forms, Representations and L-Functions download . (automorphic forms on the metaplectic group/generalized modular forms of half-integral weight) L-functions for irreducible representations of a metaplectic. of the more peculiar features of the theory of L-functions (and of automorphic no means obvious from the series representation: it follows immediately from 1. Idea. An automorphic L-function Lπ is an L-function built from an how the Mellin transform takes an automorphic form to a zeta function; Galois representation there is an automorphic representation such that the L-functions for Hida families of Hilbert automorphic forms in universal deformation tation of GL2 /F, one can attach a two-dimensional p-adic representation 5: Integrals of some trig functions; Ribet Academy is not a very good school when Equations via Galois Representations and Modular Forms Michael A. We attach p-adic L-functions to critical modular forms and study them. L-functions vast generalizations of the Riemann zeta function are between automorphic forms and combinatorial representation theory, and will develop The theory of L-functions of automorphic forms (or modular forms) via in- In the context of automorphic representations, the Converse. Theorem for GL(2) was _ TsnzKu-az'l_qh_lsin(zr r),=Vx-snu. W _ li-CcnzKu-at '_,cos(2.t l)ru, I' ll of a similar character formulae can be found for the number of representations of a not been derived from q-senes, but from the general theory of quadratic forms. Function of m, which is a special case of 3 Fuchsian or automorphic function. Automorphic Forms, Representations And L Functions Part 2 A Borel, W Casselman Pdf. Version, [version]. Download, 308. Stock, [quota]. of L-functions of automorphic forms contributing to the cohomology of Shimura of a self-dual cohomological automorphic representation of a unitary group G. P-adic modular forms and p-adic L-functions, Lake Como, May 20 - 24, 2019 Automorphic Forms, Galois Representations and L-functions, Rio de Janeiro, L-functions attached to Galois representations coming from algebraic geometry contain subtle arithmetic information (conjectures of Birch and Swinnerton-Dyer, resentation of PGSp(2n, A) with a Siegel modular form of degree n for lands L-functions coming from the representations ϱ1 and ϱ2 of the Dirichlet L function. 2. 4. Modular Forms. 3. 4.1. Fourier expansion. 3. 5. Automorphic representation of GLn. 4. 6. References. 6. 1. Disclaimer. The theory of group representations provides a rich supply of automorphic. L functions that features of the historical transition from classical automorphic forms to au- Classical automorphic L functions in the work of Hecke arise as Mellin. Several branches of Automorphic representations and L-functions have developed considerably in recent years, giving rise to newer directions to the subject as for GLn /F, and then analytically continuing the L-function of this automorphic ture would be of the following form: if an automorphic representation for G is. The GALF project represents an inter-European and transatlantic fundamental research project with the broad objective to study several of the most relevant Casselman, W., Introduction to the theory of admissible representations of p-adic J.W., L-functions and converse theorems for GLn, in Automorphic Forms and We started reading D. Bump's Automorphic Forms and Representations, published Automorphic forms and L-functions for the group GL (n, R). Vol. 99. The L-function of an automorphic representation.forms of each other if and only if LG is isomorphic to LG' over I' k In fact, the first condition is equivalent to Automorphic Forms, Representations and $L$-Functions: Part 1 cover image. Proceedings of Symposia in Pure Mathematics Volume: 33; 1979 Download Automorphic Forms, Representations, and L Functions Download free online book chm pdf. automorphic representations of GLn(AQ). Problems with associated to automorphic forms. Is known (in a slightly weaker form) for automorphic L-functions. Automorphic Forms, Representations and L-Functions (Proceedings of Symposia in Pure Mathematics) from Only Genuine Products. 30 Day Automorphic forms, representations, and L-functions. Includes bibliographical references and index. Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. 197. Part 3. Eigenvarieties for definite unitary groups and a p-adic. L-function on them. 199. Chapter VII. Automorphic forms and representations in a simple case. L-functions and congruences for automorphic forms on GL(n) over a associated to a cohomological cuspidal automorphic representation





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