Automorphic Forms and Even Unimodular Lattices (Record no. 36810)

MARC details
000 -LEADER
fixed length control field 03239nam a22004575i 4500
001 - CONTROL NUMBER
control field 978-3-319-95891-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241218190610.0
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 190228s2019 gw | o |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319958910
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-95891-0
Source of number or code doi
040 ## - CATALOGING SOURCE
Transcribing agency eng
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 information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Chenevier, Gaëtan.
Relator term author.
245 10 - TITLE STATEMENT
Title Automorphic Forms and Even Unimodular Lattices
Remainder of title Kneser Neighbors of Niemeier Lattices /
Statement of responsibility, etc. by Gaëtan Chenevier, Jean Lannes.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cham :
Name of producer, publisher, distributor, manufacturer Springer International Publishing :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2019.
300 ## - PHYSICAL DESCRIPTION
Extent XXI, 417 p. 24 illus., 1 illus. in color.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent.
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia.
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier.
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda.
490 1# - SERIES STATEMENT
Series statement Ergebnisse der Mathematik und ihrer Grenzgebiete ;
Volume/sequential designation Folge 3, Band 69.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface.-1 Introduction -- 2 Bilinear and Quadratic Algebra -- 3 Kneser Neighbors -- 4 Automorphic Forms and Hecke Operators -- 5 Theta Series and Even Unimodular Lattices -- 6 Langlands Parametrization -- 7 A Few Cases of the Arthur–Langlands Conjecture -- 8 Arthur's Classification for the Classical Z-groups -- 9 Proofs of the Main Theorems -- 10 Applications -- A The Barnes–Wall Lattice and the Siegel Theta Series -- B Quadratic Forms and Neighbors in Odd Dimension -- C Tables -- References.-.Postface- Notation Index.-Terminology Index.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Access restricted to subscribing institutions.
520 ## - SUMMARY, ETC.
Summary, etc. This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur. Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations. This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebra.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lannes, Jean.
Relator term author.
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.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Ergebnisse der Mathematik und ihrer Grenzgebiete.
Name of part/section of a work 3. Folge ;
Volume/sequential designation Bd. 69.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ezproxy.lib.gla.ac.uk/login?url=https://doi.org/10.1007/978-3-319-95891-0">https://ezproxy.lib.gla.ac.uk/login?url=https://doi.org/10.1007/978-3-319-95891-0</a>
Public note Connect to resource
907 ## - LOCAL DATA ELEMENT G, LDG (RLIN)
a .b33398690
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Carti
Suppress in OPAC No
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Inventory number Total checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     IMAR IMAR 12/18/2024 Achitizie - cumparare 441.00 Mcc 10029   512.7-CHE 3801399 12/18/2024 12/18/2024 Carti

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