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Rankin Selberg Convolutions For So2l 1 X Gln
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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.
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
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:
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.
Book Synopsis Deformation Theory of Pseudogroup Structures by : Victor Guillemin
Download or read book Deformation Theory of Pseudogroup Structures written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 1966 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1994-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Critical Values of Rankin-Selberg Convolutions by : Hendrik Kasten
Download or read book On Critical Values of Rankin-Selberg Convolutions written by Hendrik Kasten and published by . This book was released on 2008 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis $C^*$-Algebra Extensions of $C(X)$ by : Huaxin Lin
Download or read book $C^*$-Algebra Extensions of $C(X)$ written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 1995 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show that the Weyl-von Neumann theorem for unitaries holds for [lowercase Greek]Sigma-unital [italic capital]A[italic capital]F-algebras and their multiplier algebras.
Book Synopsis Cohomological Representations and Twisted Rankin-Selberg Convolutions by : Hendrik Kasten
Download or read book Cohomological Representations and Twisted Rankin-Selberg Convolutions written by Hendrik Kasten and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The $2$-Dimensional Attractor of $x'(t)=-{\mu } x(t) + f(x(t-1))$ by : Hans-Otto Walther
Download or read book The $2$-Dimensional Attractor of $x'(t)=-{\mu } x(t) + f(x(t-1))$ written by Hans-Otto Walther and published by American Mathematical Soc.. This book was released on 1995 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: See attachment.
Book Synopsis Rankin-Selberg convolution of two variables for 0(m,2). by : Atsushi Murase
Download or read book Rankin-Selberg convolution of two variables for 0(m,2). written by Atsushi Murase and published by . This book was released on 1992 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Eisenstein Series and Automorphic $L$-Functions by : Freydoon Shahidi
Download or read book Eisenstein Series and Automorphic $L$-Functions written by Freydoon Shahidi and published by American Mathematical Soc.. This book was released on 2010 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a treatment of the theory of $L$-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms, as well as definitive solutions to certain problems in analytic and algebraic number theory. This book gives a detailed treatment of important parts of this theory, including a rather complete proof of Casselman-Shalika's formula for unramified Whittaker functions as well as a general treatment of the theory of intertwining operators. It also covers in some detail the global aspects of the method as well as some of its applications to group representations and harmonic analysis. This book is addressed to graduate students and researchers who are interested in the Langlands program in automorphic forms and its connections with number theory.
Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Annales Scientifiques de L'École Normale Supérieure by : École normale supérieure (France)
Download or read book Annales Scientifiques de L'École Normale Supérieure written by École normale supérieure (France) and published by . This book was released on 1995 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Methods of Automorphic Forms by : Henryk Iwaniec
Download or read book Spectral Methods of Automorphic Forms written by Henryk Iwaniec and published by American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain. This book was released on 2021-11-17 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.
Book Synopsis Modern Analysis of Automorphic Forms By Example by : Paul Garrett
Download or read book Modern Analysis of Automorphic Forms By Example written by Paul Garrett and published by Cambridge University Press. This book was released on 2018-09-20 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.
