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 |