منابع مشابه
A New Tower of Rankin-Selberg Integrals
The notion of a tower of Rankin-Selberg integrals was introduced in [G-R]. To recall this notion, let G be a reductive group defined over a global field F . Let G denote the L group of G. Let ρ denote a finite dimensional irreducible representation of G. Given an irreducible generic cuspidal representation of G(A), we let L(π, ρ, s) denote the partial L function associated with π and ρ. Here s ...
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The paper gives complete proofs of the properties of the RankinSelberg integrals for the group GL(n,R) and GL(n,C).
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In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE6. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product LS(π× τ, E6× GL2, s) and in the other case the degree 30 Euler product L S(π × τ,∧2 ×GL2, s).
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We present the simplest possible example of the Rankin-Selberg method, namely for a pair of holomorphic modular forms for SL(2,Z), treated independently in 1939 by Rankin and 1940 by Selberg. (Rankin has remarked that the general idea came from his advisor and mentor, Ingham.) We also recall a proof of the analytic continuation of the relevant Eisenstein series. That is, we consider the simples...
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We recently established the holomorphic continuation and functional equation of the exterior square L-function for GL(n,Z), and more generally, the archimedean theory of the GL(n) exterior square L-function over Q. We refer the reader to our paper [15] for a precise statement of the results and their relation to previous work on the subject. The purpose of this note is to give an account of our...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 2006
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-06-00160-0