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Eisenstein Serie und automorphe $l$-Funktionen (Kolloquium Publikationen)...-
by Freydoon Shahidi | HC | VeryGood
US $61,72
Ca.EUR 52,47
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Standort: Aurora, Illinois, USA
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eBay-Artikelnr.:146786340034
Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- Binding
- Hardcover
- Book Title
- Eisenstein Series and Automorphic $l$-functions (Colloquium...
- Weight
- 1 lbs
- Product Group
- Book
- IsTextBook
- No
- ISBN
- 9780821849897
Über dieses Produkt
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821849891
ISBN-13
9780821849897
eBay Product ID (ePID)
92460754
Product Key Features
Number of Pages
210 Pages
Language
English
Publication Name
Eisenstein Series and Automorphic L-Functions
Subject
Number Theory, Algebra / General
Publication Year
2010
Type
Textbook
Subject Area
Mathematics
Series
Colloquium Publications
Format
Hardcover
Dimensions
Item Height
0.6 in
Item Weight
19.5 Oz
Item Length
9.8 in
Item Width
5.9 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2010-010759
Dewey Edition
22
Series Volume Number
58
Illustrated
Yes
Dewey Decimal
515/.9
Table Of Content
Introduction; Reductive groups; Satake isomorphisms; Generic representations; Intertwining operators; Local coefficients; Eisenstein series; Fourier coefficients of Eisenstein series; Functional equations; Further properties of $L$-functions; Applications to functoriality; Appendices: Tables of Dynkin diagrams; Bibliography; Index.
Synopsis
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. It provides 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., 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.
LC Classification Number
QA353.A9S53 2010
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