MARC details
000 -LEADER |
fixed length control field |
05257cam a2201021Ma 4500 |
001 - CONTROL NUMBER |
control field |
ocn811400574 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20220711181756.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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120424t20122013nju ob 001 0 eng d |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
E7B |
Language of cataloging |
eng |
Description conventions |
pn |
Transcribing agency |
E7B |
Modifying agency |
YDXCP |
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OCLCQ |
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OCLCO |
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N$T |
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OCLCF |
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OCLCQ |
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IDEBK |
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OCLCQ |
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AZK |
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UIU |
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COCUF |
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AGLDB |
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PIFAG |
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OTZ |
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OCLCQ |
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MERUC |
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OCLCQ |
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LGG |
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U3W |
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EZ9 |
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OCLCQ |
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OCLCQ |
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DKC |
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OCLCQ |
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M8D |
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OCLCQ |
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MM9 |
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OCLCO |
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
Record control number |
016162248 |
Source |
Uk |
019 ## - |
-- |
808673192 |
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817809716 |
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825072105 |
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961610438 |
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962662868 |
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 |
Source of number or code |
doi |
029 1# - (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000050492130 |
029 1# - (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000065314254 |
029 1# - (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000066234163 |
029 1# - (OCLC) |
OCLC library identifier |
CHBIS |
System control number |
010687476 |
029 1# - (OCLC) |
OCLC library identifier |
CHVBK |
System control number |
364589329 |
029 1# - (OCLC) |
OCLC library identifier |
DEBBG |
System control number |
BV041120948 |
029 1# - (OCLC) |
OCLC library identifier |
DEBBG |
System control number |
BV043060370 |
029 1# - (OCLC) |
OCLC library identifier |
DEBBG |
System control number |
BV044167848 |
029 1# - (OCLC) |
OCLC library identifier |
DEBSZ |
System control number |
379329751 |
029 1# - (OCLC) |
OCLC library identifier |
DEBSZ |
System control number |
396758606 |
029 1# - (OCLC) |
OCLC library identifier |
DEBSZ |
System control number |
446504289 |
029 1# - (OCLC) |
OCLC library identifier |
GBVCP |
System control number |
1003711812 |
029 1# - (OCLC) |
OCLC library identifier |
NZ1 |
System control number |
15339044 |
029 1# - (OCLC) |
OCLC library identifier |
AU@ |
System control number |
000070012822 |
029 1# - (OCLC) |
OCLC library identifier |
DKDLA |
System control number |
820120-katalog:999938040505765 |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(OCoLC)811400574 |
Canceled/invalid control number |
(OCoLC)808673192 |
-- |
(OCoLC)817809716 |
-- |
(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 ## - |
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text |
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txt |
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rdacontent |
337 ## - |
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computer |
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c |
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rdamedia |
338 ## - |
-- |
online resource |
-- |
cr |
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rdacarrier |
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 -- |
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Preface -- |
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Chapter One. Introduction and Statement of Main Results -- |
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Chapter Two. Weil Representation and Waldspurger Formula -- |
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Chapter Three. Mordell-Weil Groups and Generating Series -- |
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Chapter Four. Trace of the Generating Series -- |
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Chapter Five. Assumptions on the Schwartz Function -- |
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Chapter Six. Derivative of the Analytic Kernel -- |
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Chapter Seven. Decomposition of the Geometric Kernel -- |
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Chapter Eight. Local Heights of CM Points -- |
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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 |
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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> |
938 ## - |
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Coutts Information Services |
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COUT |
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24018227 |
938 ## - |
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EBL - Ebook Library |
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EBLB |
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EBL999948 |
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ebrary |
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EBRY |
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ebr10590916 |
938 ## - |
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EBSCOhost |
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EBSC |
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479005 |
938 ## - |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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388391 |
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YBP Library Services |
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YANK |
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9600429 |
994 ## - |
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92 |
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INOPJ |