Rankin-Selberg Convolutions for SO2l+1 X GLn

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821862230
Total Pages : 116 pages
Book Rating : 4.8/5 (622 download)

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Book Synopsis Rankin-Selberg Convolutions for SO2l+1 X GLn by : David Soudry

Download or read book Rankin-Selberg Convolutions for SO2l+1 X GLn written by David Soudry and published by American Mathematical Soc.. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two new ideas: the justification of formal manipulations in the proof of multiplicativity of the gamma factor, through a uniqueness principle, and the use of a key identity in this proof to reduce the unramified computation in the case l

Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825682
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory by : David Soudry

Download or read book Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory written by David Soudry and published by American Mathematical Soc.. This book was released on 1993 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: On t.p. "o2olo+o1" and "on" are subscript.

On the Local Theory of Rankin-Selberg Convolutions for SO21 X GLn

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Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.:/5 (884 download)

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Book Synopsis On the Local Theory of Rankin-Selberg Convolutions for SO21 X GLn by : Eyal Kaplan

Download or read book On the Local Theory of Rankin-Selberg Convolutions for SO21 X GLn written by Eyal Kaplan and published by . This book was released on 2013 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Test Vectors of Rankin-Selberg Convolutions for General Linear Groups

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Publisher :
ISBN 13 :
Total Pages : 117 pages
Book Rating : 4.:/5 (743 download)

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Book Synopsis Test Vectors of Rankin-Selberg Convolutions for General Linear Groups by : Kyung-Mi Kim

Download or read book Test Vectors of Rankin-Selberg Convolutions for General Linear Groups written by Kyung-Mi Kim and published by . This book was released on 2010 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In the integral representation of the local Rankin-Selberg L-function of a pair ([pi]1, [pi]2) for GLn(F) x GLm(F) with n>̲ m over a non-archimedian field F, we know that L(s, [pi]1x [pi]2) is a finite sum [sum]I(s, W[pi]1, i, W[pi]2, i) (or [sum]I(s, W[pi]1, i, W[pi]2, i, [phi]i) for n=m) of local integrals, where (W[pi]1, i, W[pi]2, i) or (W[pi]1, i, W[pi]2, i, [phi]i) are test vectors of the pair ([pi]1, [pi]2). Our goal is to find explicit formulas for test vectors for any pair ([pi]1, [pi]2) with [pi]1 in Irr(GL(n)) and [pi]2 [a member of] Irr(GL(m)). In this dissertation, we prove that one local integral computes L(s, [pi]1x [pi]2) for any unramified [pi]2. We construct a test vector of any pair ([pi]1, [pi]2) for GL(n) x GL(1). We also show that most pairs ([pi]1x [pi]2) for GL(n) x GL(2) need at most two test vectors. As a generalization, we prove some pairs for GL(n) x GL(m) are optimal 1-regular.

Relative Trace Formulas

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Publisher :
ISBN 13 : 9783030685072
Total Pages : 0 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Relative Trace Formulas by : Werner Müller

Download or read book Relative Trace Formulas written by Werner Müller and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur's trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.

Spectral Decomposition and Eisenstein Series

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Publisher : Cambridge University Press
ISBN 13 : 9780521418935
Total Pages : 382 pages
Book Rating : 4.4/5 (189 download)

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Book Synopsis Spectral Decomposition and Eisenstein Series by : Colette Moeglin

Download or read book Spectral Decomposition and Eisenstein Series written by Colette Moeglin and published by Cambridge University Press. This book was released on 1995-11-02 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to automorphic forms, and Eisenstein series and pseudo-series, proving some of Langlands' work at the intersection of number theory and group theory.

Yosemite National Park

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Publisher : Capstone
ISBN 13 : 1977117120
Total Pages : 24 pages
Book Rating : 4.9/5 (771 download)

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Book Synopsis Yosemite National Park by : Megan Cooley Peterson

Download or read book Yosemite National Park written by Megan Cooley Peterson and published by Capstone. This book was released on 2019-05-01 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Yosemite National Park is in California. Explore its trails to find giant trees, waterfalls, cliffs, and much more!

The Endoscopic Classification of Representations Orthogonal and Symplectic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849905
Total Pages : 610 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Endoscopic Classification of Representations Orthogonal and Symplectic Groups by : James Arthur

Download or read book The Endoscopic Classification of Representations Orthogonal and Symplectic Groups written by James Arthur and published by American Mathematical Soc.. This book was released on 2013-10-31 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the Langlands program, endoscopy is a fundamental process for relating automorphic representations of one group with those of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups . The representations are shown to occur in families (known as global -packets and -packets), which are parametrized by certain self-dual automorphic representations of an associated general linear group . The central result is a simple and explicit formula for the multiplicity in the automorphic discrete spectrum of for any representation in a family. The results of the volume have already had significant applications: to the local Langlands correspondence, the construction of unitary representations, the existence of Whittaker models, the analytic behaviour of Langlands -functions, the spectral theory of certain locally symmetric spaces, and to new phenomena for symplectic epsilon-factors. One can expect many more. In fact, it is likely that both the results and the techniques of the volume will have applications to almost all sides of the Langlands program. The methods are by comparison of the trace formula of with its stabilization (and a comparison of the twisted trace formula of with its stabilization, which is part of work in progress by Moeglin and Waldspurger). This approach is quite different from methods that are based on -functions, converse theorems, or the theta correspondence. The comparison of trace formulas in the volume ought to be applicable to a much larger class of groups. Any extension at all will have further important implications for the Langlands program.

Permanents

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Publisher : Cambridge University Press
ISBN 13 : 9780521302265
Total Pages : 228 pages
Book Rating : 4.3/5 (22 download)

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Book Synopsis Permanents by : Henryk Minc

Download or read book Permanents written by Henryk Minc and published by Cambridge University Press. This book was released on 1984-12-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1978 book gives an account of the theory of permanents, their history and applications. The volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt.