Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Abelian varieties with complex multiplication and modular functions, Goro Shimura
Abelian varieties with complex multiplication and modular functions, Goro Shimura
Resource Information
The item Abelian varieties with complex multiplication and modular functions, Goro Shimura represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Abelian varieties with complex multiplication and modular functions, Goro Shimura represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary

 Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900, Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions
 This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals
 Language
 eng
 Extent
 xiv, 217 pages
 Contents

 Construction of Class Fields
 Ch. V.
 The Zeta Function of an Abelian Variety with Complex Multiplication
 Ch. VI.
 Families of Abelian Varieties and Modular Functions
 Ch. VII.
 Theta Functions and Periods on Abelian Varieties
 Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)
 Ch. I.
 Preliminaries on Abelian Varieties
 Ch. II.
 Abelian Varieties with Complex Multiplication
 Ch. III.
 Reduction of Constant Fields
 Ch. IV.
 Isbn
 9780691016566
 Label
 Abelian varieties with complex multiplication and modular functions
 Title
 Abelian varieties with complex multiplication and modular functions
 Statement of responsibility
 Goro Shimura
 Language
 eng
 Summary

 Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900, Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions
 This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 19302019
 http://library.link/vocab/creatorName
 Shimura, Gorō
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA564
 LC item number
 .S458 1998
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Abelian varieties
 Modular functions
 Abelian varieties
 Modular functions
 Variëteiten van Abel
 Modulaire functies
 Variétés abéliennes
 Fonctions modulaires
 Label
 Abelian varieties with complex multiplication and modular functions, Goro Shimura
 Bibliography note
 Includes bibliographical references (p. 209214) and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Construction of Class Fields
 Ch. V.
 The Zeta Function of an Abelian Variety with Complex Multiplication
 Ch. VI.
 Families of Abelian Varieties and Modular Functions
 Ch. VII.
 Theta Functions and Periods on Abelian Varieties
 Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)
 Ch. I.
 Preliminaries on Abelian Varieties
 Ch. II.
 Abelian Varieties with Complex Multiplication
 Ch. III.
 Reduction of Constant Fields
 Ch. IV.
 Dimensions
 24 cm.
 Extent
 xiv, 217 pages
 Isbn
 9780691016566
 Lccn
 97008673
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)36713049
 (OCoLC)ocm36713049
 Label
 Abelian varieties with complex multiplication and modular functions, Goro Shimura
 Bibliography note
 Includes bibliographical references (p. 209214) and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Construction of Class Fields
 Ch. V.
 The Zeta Function of an Abelian Variety with Complex Multiplication
 Ch. VI.
 Families of Abelian Varieties and Modular Functions
 Ch. VII.
 Theta Functions and Periods on Abelian Varieties
 Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)
 Ch. I.
 Preliminaries on Abelian Varieties
 Ch. II.
 Abelian Varieties with Complex Multiplication
 Ch. III.
 Reduction of Constant Fields
 Ch. IV.
 Dimensions
 24 cm.
 Extent
 xiv, 217 pages
 Isbn
 9780691016566
 Lccn
 97008673
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)36713049
 (OCoLC)ocm36713049
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Abelianvarietieswithcomplexmultiplicationand/NYZv_lXvcwo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Abelianvarietieswithcomplexmultiplicationand/NYZv_lXvcwo/">Abelian varieties with complex multiplication and modular functions, Goro Shimura</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Abelian varieties with complex multiplication and modular functions, Goro Shimura
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Abelianvarietieswithcomplexmultiplicationand/NYZv_lXvcwo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Abelianvarietieswithcomplexmultiplicationand/NYZv_lXvcwo/">Abelian varieties with complex multiplication and modular functions, Goro Shimura</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>