Last edited by Shaktibei
Friday, July 31, 2020 | History

11 edition of Automorphic forms on GL (2) found in the catalog.

Automorphic forms on GL (2)

by HervГ© Jacquet

  • 111 Want to read
  • 31 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Group theory.,
  • Representations of groups.,
  • Dirichlet series.,
  • Automorphic forms.

  • Edition Notes

    Statement[by] H. Jacquet [and] R. P. Langlands.
    SeriesLecture notes in mathematics, 114, 278, Lecture notes in mathematics (Springer-Verlag) ;, 114, etc.
    ContributionsLanglands, Robert P., 1936- joint author.
    Classifications
    LC ClassificationsQA3 .L28 no. 114 etc., QA171 .L28 no. 114 etc.
    The Physical Object
    Pagination2 v.
    ID Numbers
    Open LibraryOL4912245M
    ISBN 103540059318
    LC Control Number76108338

    May 02,  · The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and \(L\)-functions are the. Introductory lectures on automorphic forms Lectures for the European School of Group Theory July, , Luminy, France by Nolan R. Wallach 1 Orbital integrals and the Harish-Chandra transform. This section is devoted to a rapid review of some of the basic analysis that is necessary in representation theory and the basic theory of automorphic forms.

    Jun 17,  · The book also features well thought out exercises at a variety of rangelyautomuseum.com book covers a large amount of material concerning automorphic forms on GL(2), and the material is presented from a vantage far broader. The careful reader will have taken a significant step on the path to contemporary research in this important and beautiful area."/5(7). This is an easygoing study/discussion group to go over some books on automorphic forms and L-functions. We started by reading D. Bump's Automorphic Forms and Representations, published by Cambridge University Press.A learning seminar for Spring and Fall was primarily run by Lawrence Vu whose seminar webpage is here. If you want to participate or be on the mailing list, please send an.

    Feb 28,  · Automorphic Forms and Representations book. Read reviews from world’s largest community for readers. This book covers both the classical and representati /5. Automorphic forms on GL(2).- The differential equations satisfied by Whittaker functions.- Jacquet's Whittaker functions.- Fourier expansions of automorphic forms.- Invariants of G?\G.- Ramanujan sums on GL(3).- Eisenstein series.- The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form.-Price: $


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Automorphic forms on GL (2) by HervГ© Jacquet Download PDF EPUB FB2

The passage from classical modular forms to automorphic forms, and from automorphic forms to automorphic representations, is explained in a volume called "Lectures on Automorphic L-Functions." I think people who want to know learn what is going on with automorphic forms would be disappointed with this rangelyautomuseum.com by: Eulerproducts, associatedtoautomorphic formson GL(2).

Sinceagrossencharakter isanautomorphic¨ form on GL(1) one is tempted to ask if the Euler products associated to automorphic forms on GL(2) play a role in the theory of numbers similar to that played by the L­functions with grossencharakter.¨.

‘This important textbook closes a gap in the existing literature, for it presents the ‘representation theoretic’ viewpoint of the theory of automorphic forms on GL(2) it will become a stepping stone for many who want to study the Corvallis Proceedings or the Lecture Notes by H.

Jaquet and R. Langlands or seek a pathway to R. Langland’s conjectures.’Cited by: We know that the classical Maass forms on GL(3) are depicted, for instance, in rangelyautomuseum.comld's book. I wonder that if there exists "holomorphic" automorphic forms on GL(3) as an analogue of GL(2) case.

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of Automorphic forms on GL book discrete subgroup ⊂ of the topological group.

Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.

Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.

Buy Automorphic Forms and L-Functions for the Group GL(n, R) (Cambridge Studies in Advanced Mathematics) on rangelyautomuseum.com FREE SHIPPING on qualified ordersAuthor: Dorian Goldfeld. Automorphic Forms on GL(2) is a book by H.

Jacquet and Robert Langlands where they rewrite Hecke's theory of modular forms in terms of the representation theory of GL(2) over local fields and adele rings of global fields and prove the Jacquet–Langlands correspondence.

The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin–Selberg method and the triple L-function, examining this subject matter from many.

Automorphic Forms on GL (2) Authors; H. Jacquet; R. Langlands; Book. Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Instant download; Automorphe Form algebra automorphic forms form.

Bibliographic information. DOI https. The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form. Pages Bump, DanielAuthor: D.

Bump. 'This book, whose clear and sometimes simplified proofs make the basic theory of automorphic forms on GL(n) accessible to a wide audience, will be valuable for students. It nicely complements D. Bump's book (Automorphic Forms and Representations, Cambridge, ), which offers a greater emphasis on representation theory and a different Cited by: Search within book.

Front Matter. Pages I-XI. PDF. Automorphic forms on GL(2) Daniel Bump. Pages The differential equations satisfied by Whittaker functions. Daniel Bump. Pages Jacquet's Whittaker functions.

Daniel Bump. Pages Fourier expansions of automorphic forms. Daniel Bump. ISBN ; Free shipping for individuals worldwide; Usually dispatched within 3 to 5 business days.

The final prices may differ from the prices shown due to specifics of VAT rules. Modern analysis of automorphic forms by examples Paul Garrett version August 28, c Paul Garrett This is a prepublication version of a book to be published by Cambridge University Press, rangelyautomuseum.com Per contractual agreement, I can keep a PDF copy on-line (especially for corrections and updates), and.

Automorphic Forms and Representations. This book, published by Cambridge University Press, is now rangelyautomuseum.com final proofs were corrected on 9/16/ Here is the official catalog description from Cambridge.

Errata. Here is the list of known errata which I am maintaining for the book. The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields, the theory of automorphic representations, L-functions and advanced topics such as the Langlands conjectures, the Weil representation, the Rankin-Selberg method and the triple L-function, and examines this subject matter from.

The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9.

The Trace Formula for GL(2) Automorphic Forms on a Quaternion Algebra. 2 AUTOMORPHIC FORMS ON GL 2 { JACQUET-LANGLANDS References 98 These notes were derived primarily from a course taught by Yannan Qiu at the University of Wisconsin in Spring of Brie y, the course was an introduction to the book of Jacquet and Langlands on Automorphic forms on GL 2.

I am greatly in. I would like to know some reference to learn the theory of automorphic forms. Any (good) book or online lecture notes will be fine.

I am particularly interested in the arithmetic point of view (e.g. galois representations associated). This book covers both the classical and representation theoretic views of automorphic forms in a style that is accessible to graduate students entering the field.

The treatment is based on complete proofs, which reveal the uniqueness principles underlying the basic constructions.

The book features extensive foundational material on the representation theory of GL(1) and GL(2) over local fields.The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4.

The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic.Another very natural place to read about modular forms is "Modular Forms" by Diamond and Shurman.

As general preparation for the course, Bump's book "Automorphic forms and representations" might be a good thing to look over, although our approach will be more algebraic and less analytic.