ORPP logo

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. (Record no. 68809)

MARC details
000 -LEADER
fixed length control field 06080nam a22005293i 4500
001 - CONTROL NUMBER
control field EBC3113275
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124538.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2013 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821895030
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821883181
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113275
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113275
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10878730
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)834150003
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA179 -- .I58 2013eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7/4
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Chan, Wai Kiu.
245 10 - TITLE STATEMENT
Title Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2013.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (258 pages)
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
490 1# - SERIES STATEMENT
Series statement Contemporary Mathematics ;
Volume/sequential designation v.587
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- In Memoriam -- Contents -- Preface -- Boris Venkov's Theory of Lattices and Spherical Designs -- 1. Introduction -- 2. Lattices, designs and modular forms -- 3. Lattices and spherical designs -- 4. Unimodular lattices -- 5. Tight spherical designs -- 6. Hecke operators -- References -- Generalized Theta Series and Spherical Designs -- 1. Introduction -- 2. The generalized theta series Θ_{ , } -- 3. Characterizations of -designs -- 4. Root lattices | ADE -- 5. The Leech lattice Λ₂₄ -- References -- Representations of integral quadratic polynomials -- 1. Introduction -- 2. Universal Ternary Quadratic Polynomials -- 3. Regular Ternary Triangular Forms -- 4. Representations of Cosets -- References -- Dense lattices as Hermitian tensor products -- 1. Introduction -- 2. Tensor products over ℤ -- 3. Preliminaries on Hermitian lattices -- 4. Hermitian ℤ[(1+√-11)/2]-lattices. -- 5. Hermitian ℤ[(1+√-7)/2]-lattices. -- References -- Small zeros of homogeneous cubic congruences -- 1. Introduction -- Acknowledgement -- 2. Quaternary cubic forms having no small zeros -- 3. Preparations -- 4. An application of Bertini's Theorem -- 5. Proofs of Theorems 1.2 and 1.3 -- References -- Strictly Regular Diagonal Positive Definite Quaternary Integral Quadratic Forms -- 1. Introduction -- 2. Infinite families of diagonal regular quaternary lattices -- 3. Candidates for strict regularity -- References -- Heights and quadratic forms: Cassels' theorem and its generalizations -- 1. Introduction: Cassels' theorem -- 2. Notation and heights -- 3. Extensions over global fields -- 4. Multiple zeros and isotropic subspaces -- 5. Effective structure theorems -- 6. Effective results with additional conditions -- 7. Open problems -- Acknowledgment -- References -- On the positive integers satisfying the equation _{ }= ²+ ² -- 1. Introduction.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Preliminary results -- 3. The proof of Theorem 1.1 -- 4. Comments -- Acknowledgements. -- References -- Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields -- 1. Introduction and Notation -- 2. Duality for Bilinear Lattices -- 3. Maximal Bilinear Lattices -- 4. Maximal Quadratic Lattices -- 5. Neighbors and Genera -- References -- -adic Zeros of Systems of Quadratic Forms -- References -- The Number of Function Fields with Given Genus -- Introduction -- Notation and Auxiliary Results -- Proof of the Theorem -- References -- Unique Factorization in the Theory of Quadratic Forms -- 1. Theorem Statement -- 2. Proof of Key Case -- 3. Proof of Remaining Cases -- References -- Golden lattices -- 1. Introduction -- 2. Hilbert theta series of golden lattices -- 3. Examples -- References -- The extremal lattice of dimension 14, level 7 and its genus -- 1. Background on extremal lattices and modular forms -- 2. The extremal 7-modular lattice -- 3. Properties of the genus \ ₁₄(7⁺⁷) -- 4. Weakening the condition of extremality -- Acknowledgment -- References -- Strict Periodic Extreme Lattices -- 1. Introduction -- 2. A parameter space for periodic sets -- 3. Characterizing strict periodic extreme sets -- References -- Exceptional units and cyclic resultants, II -- 1. Introduction -- 2. Preliminary lemmas -- 3. Proof of Theorem 1.1 -- 4. Proof of Theorem 1.2 -- 5. Proof of Theorem 1.3 -- 6. Computations for small degrees -- References -- A note on generators of number fields -- 1. Introduction -- 2. Preliminaries -- 3. Proof of Theorem 1.2 -- 4. A general strategy -- 5. Application of Chebotarev's density theorem and GRH -- 6. Proof of Theorem 1.3 -- 7. The field ℚ(√-163) -- References -- Voronoï's reduction theory of _{ } over a totally real number field -- Introduction -- 1. Preliminaries.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Voronoï's algorithm of Λ₀-perfect forms -- 3. Polyhedral reduction of _{ }( _{ })/ (Λ₀)* -- 4. Ryshkov polyhedra of real quadratic fields -- References -- Some comments about Indefinite LLL -- 1. Review of LLL -- Acknowledgments -- 2. Quadratic equations -- 3. Back to indefinite LLL -- References.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Linear algebraic groups -- Congresses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Forms, Quadratic -- Congresses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Number theory -- Congresses.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Fukshansky, Lenny.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Schulze-Pillot, Rainer.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Vaaler, Jeffrey D.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Chan, Wai Kiu
Title Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms
Place, publisher, and date of publication Providence : American Mathematical Society,c2013
International Standard Book Number 9780821883181
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Contemporary Mathematics
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113275">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113275</a>
Public note Click to View

No items available.

© 2024 Resource Centre. All rights reserved.