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Author : Hendrik Kasten
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (315 download)
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:
Author : Günter Harder
Publisher : Princeton University Press
ISBN 13 : 069119789X
Total Pages : 234 pages
Book Rating : 4.6/5 (911 download)
Download or read book Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions written by Günter Harder and published by Princeton University Press. This book was released on 2019-12-03 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.
Author : Masaaki Furusawa
Publisher : American Mathematical Soc.
ISBN 13 : 0821833286
Total Pages : 158 pages
Book Rating : 4.8/5 (218 download)
Download or read book On Central Critical Values of the Degree Four $L$-functions for $\mathrm {GSp}(4)$: The Fundamental Lemma written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
Author : David Soudry
Publisher :
ISBN 13 : 9781470400774
Total Pages : 113 pages
Book Rating : 4.4/5 (7 download)
Download or read book Rankin-Selberg Convolutions for SO2l+1 X GLn written by David Soudry and published by . This book was released on 1993 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Miki Hirano
Publisher : American Mathematical Society
ISBN 13 : 1470452774
Total Pages : 136 pages
Book Rating : 4.4/5 (74 download)
Download or read book Archimedean Zeta Integrals for $GL(3)times GL(2)$ written by Miki Hirano and published by American Mathematical Society. This book was released on 2022-07-18 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Baskar Balasubramanyam
Publisher : World Scientific
ISBN 13 : 9814719242
Total Pages : 342 pages
Book Rating : 4.8/5 (147 download)
Download or read book P-adic Aspects Of Modular Forms written by Baskar Balasubramanyam and published by World Scientific. This book was released on 2016-06-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
Author : James W. Cogdell
Publisher : Springer
ISBN 13 : 3319955497
Total Pages : 304 pages
Book Rating : 4.3/5 (199 download)
Download or read book Cohomology of Arithmetic Groups written by James W. Cogdell and published by Springer. This book was released on 2018-08-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.
Author : Uwe Jannsen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821827994
Total Pages : 696 pages
Book Rating : 4.8/5 (279 download)
Download or read book Motives written by Uwe Jannsen and published by American Mathematical Soc.. This book was released on 1994-02-28 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These two volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Author : Ellen Elizabeth Eischen
Publisher : American Mathematical Society
ISBN 13 : 1470474921
Total Pages : 199 pages
Book Rating : 4.4/5 (74 download)
Download or read book Automorphic Forms Beyond $mathrm {GL}_2$ written by Ellen Elizabeth Eischen and published by American Mathematical Society. This book was released on 2024-03-26 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821827987
Total Pages : 694 pages
Book Rating : 4.8/5 (218 download)
Download or read book Motives written by and published by American Mathematical Soc.. This book was released on 1994-02-28 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
Author : David Soudry
Publisher : American Mathematical Soc.
ISBN 13 : 9780821862230
Total Pages : 116 pages
Book Rating : 4.8/5 (622 download)
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
Author : Jim Cogdell
Publisher : Birkhäuser
ISBN 13 : 3319597280
Total Pages : 626 pages
Book Rating : 4.3/5 (195 download)
Download or read book Representation Theory, Number Theory, and Invariant Theory written by Jim Cogdell and published by Birkhäuser. This book was released on 2017-10-19 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.
Author : Eyal Kaplan
Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.:/5 (884 download)
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:
Author : B. Ramakrishnan
Publisher : Springer Nature
ISBN 13 : 9811587191
Total Pages : 240 pages
Book Rating : 4.8/5 (115 download)
Download or read book Modular Forms and Related Topics in Number Theory written by B. Ramakrishnan and published by Springer Nature. This book was released on 2020-11-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research.
Author : John Bergdall
Publisher : American Mathematical Society
ISBN 13 : 1470470314
Total Pages : 138 pages
Book Rating : 4.4/5 (74 download)
Download or read book On $p$-Adic $L$-Functions for Hilbert Modular Forms written by John Bergdall and published by American Mathematical Society. This book was released on 2024-07-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Xiannan Li
Publisher : Stanford University
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.F/5 ( download)
Download or read book The Behaviour of L-functions at the Edge of the Critical Strip and Applications written by Xiannan Li and published by Stanford University. This book was released on 2011 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of problems in number theory can be reduced to statements about L-functions. In this thesis, we study L-functions at the edge of the critical strip, and relate these to a variety of objects of arithmetic interest.
Author : Hendrik Kasten
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
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:
