The Gross-Zagier formula on Shimura curves / (Record no. 2739596)

MARC details
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120424t20122013nju ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency E7B
Language of cataloging eng
Description conventions pn
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Record control number 016162248
Source Uk
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400845644
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1400845645
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691155925
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691155920
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691155917
Qualifying information (hardcover ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691155913
Qualifying information (hardcover ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780691155913
Qualifying information (hardcover ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780691155920
Qualifying information (pbk. ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1283571463
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781283571463
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9781400845644
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035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)811400574
Canceled/invalid control number (OCoLC)808673192
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-- (OCoLC)825072105
-- (OCoLC)961610438
-- (OCoLC)962662868
037 ## - SOURCE OF ACQUISITION
Stock number 22573/cttjzjgz
Source of stock number/acquisition JSTOR
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA242.5
Item number .Y83 2012eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 012010
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBH
Source bicssc
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.3/52
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Yuan, Xinyi,
Dates associated with a name 1981-
9 (RLIN) 318491
245 14 - TITLE STATEMENT
Title The Gross-Zagier formula on Shimura curves /
Statement of responsibility, etc Xinyi Yuan, Shou-wu Zhang, and Wei Zhang.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Princeton :
Name of publisher, distributor, etc Princeton University Press,
Date of publication, distribution, etc 2012, ©2013.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (viii, 256 pages)
336 ## -
-- text
-- txt
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337 ## -
-- computer
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338 ## -
-- online resource
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490 1# - SERIES STATEMENT
Series statement Annals of mathematics studies ;
Volume number/sequential designation no. 184
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves.
505 00 - FORMATTED CONTENTS NOTE
Title Frontmatter --
-- Contents --
-- Preface --
-- Chapter One. Introduction and Statement of Main Results --
-- Chapter Two. Weil Representation and Waldspurger Formula --
-- Chapter Three. Mordell-Weil Groups and Generating Series --
-- Chapter Four. Trace of the Generating Series --
-- Chapter Five. Assumptions on the Schwartz Function --
-- Chapter Six. Derivative of the Analytic Kernel --
-- Chapter Seven. Decomposition of the Geometric Kernel --
-- Chapter Eight. Local Heights of CM Points --
-- Bibliography --
-- Index.
546 ## - LANGUAGE NOTE
Language note In English.
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Shimura varieties.
9 (RLIN) 176519
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetical algebraic geometry.
9 (RLIN) 157074
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Automorphic forms.
9 (RLIN) 176518
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quaternions.
9 (RLIN) 166049
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Variétés de Shimura.
9 (RLIN) 885968
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Géométrie algébrique arithmétique.
9 (RLIN) 885967
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Formes automorphes.
9 (RLIN) 896014
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quaternions.
9 (RLIN) 166049
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Geometry
-- Algebraic.
Source of heading or term bisacsh
9 (RLIN) 869419
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetical algebraic geometry.
Source of heading or term fast
-- (OCoLC)fst00814526
9 (RLIN) 157074
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Automorphic forms.
Source of heading or term fast
-- (OCoLC)fst00824129
9 (RLIN) 176518
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quaternions.
Source of heading or term fast
-- (OCoLC)fst01085499
9 (RLIN) 166049
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Shimura varieties.
Source of heading or term fast
-- (OCoLC)fst01116007
9 (RLIN) 176519
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zhang, Shouwu.
9 (RLIN) 162530
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zhang, Wei,
Dates associated with a name 1981-
9 (RLIN) 318492
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Yuan, Xinyi, 1981-
Title Gross-Zagier formula on Shimura curves.
Place, publisher, and date of publication Princeton : Princeton University Press, 2012, ©2013
Record control number (DLC) 2012010981
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume number/sequential designation no. 184.
9 (RLIN) 215873
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=479005">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=479005</a>
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Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Total Checkouts Date last seen Price effective from Koha item type
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