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The Selberg-Arthur Trace Formula (Record no. 10785)

MARC details
000 -LEADER
fixed length control field	04180nam a22004815i 4500
001 - CONTROL NUMBER
control field	978-3-540-46659-8
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20190213151453.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	121227s1992 gw \| s \|\|\|\| 0\|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783540466598
--	978-3-540-46659-8
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/BFb0092305
Source of number or code	doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA241-247.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBH
Source	bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT022000
Source	bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBH
Source	thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512.7
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Shokranian, Salahoddin.
Relator term	author.
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
245 14 - TITLE STATEMENT
Title	The Selberg-Arthur Trace Formula
Medium	[electronic resource] :
Remainder of title	Based on Lectures by James Arthur /
Statement of responsibility, etc	by Salahoddin Shokranian.
264 #1 -
--	Berlin, Heidelberg :
--	Springer Berlin Heidelberg :
--	Imprint: Springer,
--	1992.
300 ## - PHYSICAL DESCRIPTION
Extent	IX, 99 p.
Other physical details	online resource.
336 ## -
--	text
--	txt
--	rdacontent
337 ## -
--	computer
--	c
--	rdamedia
338 ## -
--	online resource
--	cr
--	rdacarrier
347 ## -
--	text file
--	PDF
--	rda
490 1# - SERIES STATEMENT
Series statement	Lecture Notes in Mathematics,
International Standard Serial Number	0075-8434 ;
Volume number/sequential designation	1503
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	Contents: Number Theory and Automorphic Representations: Some problems in classical number theory. Modular forms and automorphic representations -- Selberg's Trace Formula: Historical Remarks. Orbital integrals and Selberg's trace formula. Three examples. A necessary condition. Generalizations and applications -- Kernel Functions and the Convergence Theorem: Preliminaries on GL(r). Combinatorics and reduction theory. The convergence theorem -- The Adélic Theory: Basic facts -- The Geometric Theory: The JTO(f) and JT(f) distributions. A geometric I-function. The weight functions -- The Geometric Expansion of the Trace Formula: Weighted orbital integrals. The unipotent distribution -- The Spectral Theory: A review of the Eisenstein series. Cusp forms, truncation, the trace formula -- The Invariant Trace Formula and Its Applications: The in- variant trace formula for GL(r). Applications and remarks -- Bibliography -- Subject Index.
520 ## - SUMMARY, ETC.
Summary, etc	This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students in automorphic forms, analytic number theory, and non-commutative harmonic analysis, as well as researchers in these fields. Contents: I. Number Theory and Automorphic Representations.1.1. Some problems in classical number theory, 1.2. Modular forms and automorphic representations; II. Selberg's Trace Formula 2.1. Historical Remarks, 2.2. Orbital integrals and Selberg's trace formula, 2.3.Three examples, 2.4. A necessary condition, 2.5. Generalizations and applications; III. Kernel Functions and the Convergence Theorem, 3.1. Preliminaries on GL(r), 3.2. Combinatorics and reduction theory, 3.3. The convergence theorem; IV. The Ad lic Theory, 4.1. Basic facts; V. The Geometric Theory, 5.1. The JTO(f) and JT(f) distributions, 5.2. A geometric I-function, 5.3. The weight functions; VI. The Geometric Expansionof the Trace Formula, 6.1. Weighted orbital integrals, 6.2. The unipotent distribution; VII. The Spectral Theory, 7.1. A review of the Eisenstein series, 7.2. Cusp forms, truncation, the trace formula; VIII.The Invariant Trace Formula and its Applications, 8.1. The invariant trace formula for GL(r), 8.2. Applications and remarks.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Number theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topological Groups.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Number Theory.
--	http://scigraph.springernature.com/things/product-market-codes/M25001
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topological Groups, Lie Groups.
--	http://scigraph.springernature.com/things/product-market-codes/M11132
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title	Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783662173039
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783540550211
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Lecture Notes in Mathematics,
--	0075-8434 ;
Volume number/sequential designation	1503
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	https://doi.org/10.1007/BFb0092305
912 ## -
--	ZDB-2-SMA
912 ## -
--	ZDB-2-LNM
912 ## -
--	ZDB-2-BAE

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