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Wednesday, May 13, 2020 | History

9 edition of Automorphic forms, representations, and L-functions found in the catalog.

Automorphic forms, representations, and L-functions

Symposium in Pure Mathematics held at Oregon State University, July 11-August 5, 1977, Corvallis, Oregon

by Symposium in Pure Mathematics (1977 Oregon State University)

  • 259 Want to read
  • 21 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Automorphic forms -- Congresses.,
  • Lie groups -- Congresses.,
  • Representations of groups -- Congresses.,
  • L-functions -- Congresses.

  • Edition Notes

    Statement[edited by] A. Borel, W. Casselman. [Pt.2].
    GenreCongresses.
    SeriesProceedings of symposia in pure mathematics -- vol.33, pt.2
    ContributionsBorel, Armand., Casselman, W., 1941-, American Mathematical Society.
    The Physical Object
    Paginationvii, 382 p. ;
    Number of Pages382
    ID Numbers
    Open LibraryOL18649339M
    ISBN 100821814370

    [joint with Adrian Diaconu] And-yet-once-more-edited, enhanced/enlarged version of earlier preprint of the same name (below): integral moments for GL(2) automorphic L-functions over number fields, by integral representations. This version has tripled in size by comparison to the old one. This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with .

    Automorphic Forms Online References This page is an incomplete, but evolving, list of some online references for learning about automorphic forms, representations and related topics. It is focused on open-access notes and survey papers, not research papers. I may eventually add comments about each entry, and possibly will reorganize things by.   Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to Brand: Birkhäuser Boston.

      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 /5(7). Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of.


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Automorphic forms, representations, and L-functions by Symposium in Pure Mathematics (1977 Oregon State University) Download PDF EPUB FB2

From the reviews: “This book covers, in a readable and clear style, the main aspects of the theory of automorphic forms with minimal prerequisites. this book would serve very well as a one-semester course on automorphic forms, representations, and : Paperback.

Some remarks on the supercuspidal representations of P-adic semisimple groups ; II. Automorphic forms Automorphic forms and representations ; Decomposition of representations into tensor products ; Classical and adelic automorphic forms. An introduction ; Automorphic forms and automorphic representations Download Automorphic Forms, Representations, and L Functions Download free online book chm pdf.

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 Cited by: Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics Book ) Dorian Goldfeld out of 5 stars 3Format: Paperback.

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting.

Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry representations, and. Automorphic Forms, Representations and L-Functions book. Read reviews from world’s largest community for readers.

Contains sections on Automorphic Automorphic forms 5/5. 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. III. Automorphic representations and L-functions 1 12 free; Number theoretic background 3 14; Automorphic L-functions 27 38; Principal L-functions of the linear group 63 74; Automorphic L-functions for the symplectic group GSp[sub(4)] 87 98; On liftings of holomorphic cusp forms 97 ; Orbital integrals and base change automorphic forms on, or automorphic representations of, reductive groups, the local and global problems pertaining to them, and of their relations with the L- functions of algebraic number theory and algebraic geometry, such as Artin L.

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Read "L-Functions and Automorphic Forms LAF, Heidelberg, February" by available from Rakuten Kobo. This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference " Brand: Springer International Publishing.

Automorphic Forms, Representations, and L-functions | Armand Borel, W. Casselman | download | B–OK. Download books for free. Find books. 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.

In mathematics, an automorphic L-function is a function L(s,π,r) of a complex variable s, associated to an automorphic representation π of a reductive group G over a global field and a finite-dimensional complex representation r of the Langlands dual group L G of G, generalizing the Dirichlet L-series of a Dirichlet character and the Mellin transform of a modular form.

Automorphic Forms and Representations: Daniel Bump: Books - Skip to main content. Try Prime Hello, Sign in Account & Lists Sign in Account & Lists Orders Try Prime Cart. Books. Go Search Best Sellers Gift Ideas New Releases Deals Store Coupons.

Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics.

Contains sections on Automorphic representations and L-functions as well as Arithmetical algebraic geometry and L-functions. (source: Nielsen Book Data) Contains sections on Reductive groups, representations, Automorphic forms and representations.

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Classical L-functions and root numbers 60 Automorphic representations for GL(1,AQ)65 Hecke operators for GL(1,AQ)68 The Rankin-Selberg method 69 The p-adic Mellin transform 70 Exercises for Chapter 2 72 3 The classical theory of automorphic forms for GL(2) 76 Automorphic forms in general.

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory.Automorphic Forms and Representations.

This book, published by Cambridge University Press, is now shipping. The 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. Table of Contents I: Modular Forms 1.

Dirichlet L-functions 2.Automorphic forms and Galois representations: some examples, Don Blasius. Non-abelian Lubin-Tate theory, H.

Carayol. Automorphic forms and the cohomology of vector bundles on Shimura varieties, Michael Harris. p-adic L-functions for base change lifts of GL 2 to GL 3, Haruzo Hida. Exterior square L-functions, Hervé Jacquet and Joseph Shalika.