The Resource NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
Resource Information
The item NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book is devoted to the arithmetical theory of Siegel modular forms and their Lfunctions. The central object are Lfunctions of classical Siegel modular forms whose special values are studied using the RankinSelberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of padic interpolation of these critical values is presented. An important class of padic Lfunctions treated in the present book are padic Lfunctions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these padic Lfunctions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for nonexperts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of Lfunctions and modular forms
 Language
 eng
 Edition
 2nd augmented ed.
 Extent
 1 online resource (viii, 193 pages)
 Contents

 1. NonArchimedean analytic functions
 2. Siegel modular forms and the holomorphic projection operator
 3. Arithmetical differential operators
 4. Admissible measures for standard Lfunctions
 Isbn
 9783540451785
 Label
 NonArchimedean Lfunctions and arithmetical Siegel modular forms
 Title
 NonArchimedean Lfunctions and arithmetical Siegel modular forms
 Statement of responsibility
 Michel Courtieu, Alexei Panchishkin
 Subject

 Algebraic number theory
 Algebraic number theory
 Automorphic forms
 Automorphic forms
 Automorphic forms
 Discontinuous groups
 Discontinuous groups
 Discontinuous groups
 Lfunctions
 Lfunctions
 Lfunctions
 Modular groups
 Modular groups
 Modular groups
 Siegel domains
 Siegel domains
 Siegel domains
 Algebraic number theory
 Language
 eng
 Summary
 This book is devoted to the arithmetical theory of Siegel modular forms and their Lfunctions. The central object are Lfunctions of classical Siegel modular forms whose special values are studied using the RankinSelberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of padic interpolation of these critical values is presented. An important class of padic Lfunctions treated in the present book are padic Lfunctions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these padic Lfunctions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for nonexperts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of Lfunctions and modular forms
 Cataloging source
 COO
 http://library.link/vocab/creatorDate
 1973
 http://library.link/vocab/creatorName
 Courtieu, Michel
 Dewey number

 510 s
 512.7/3
 Illustrations
 illustrations
 Index
 index present
 LC call number

 QA3
 QA246
 LC item number
 .L28 no. 1471
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Panchishkin, A. A.
 Series statement
 Lecture notes in mathematics,
 Series volume
 1471
 http://library.link/vocab/subjectName

 Lfunctions
 Siegel domains
 Modular groups
 Discontinuous groups
 Automorphic forms
 Algebraic number theory
 Algebraic number theory
 Automorphic forms
 Discontinuous groups
 Lfunctions
 Modular groups
 Siegel domains
 Label
 NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
 Bibliography note
 Includes bibliographical references (pages 187193) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. NonArchimedean analytic functions  2. Siegel modular forms and the holomorphic projection operator  3. Arithmetical differential operators  4. Admissible measures for standard Lfunctions
 Control code
 54103450
 Dimensions
 unknown
 Edition
 2nd augmented ed.
 Extent
 1 online resource (viii, 193 pages)
 Form of item
 online
 Isbn
 9783540451785
 Lccn
 2003064956
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)54103450
 Label
 NonArchimedean Lfunctions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
 Bibliography note
 Includes bibliographical references (pages 187193) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. NonArchimedean analytic functions  2. Siegel modular forms and the holomorphic projection operator  3. Arithmetical differential operators  4. Admissible measures for standard Lfunctions
 Control code
 54103450
 Dimensions
 unknown
 Edition
 2nd augmented ed.
 Extent
 1 online resource (viii, 193 pages)
 Form of item
 online
 Isbn
 9783540451785
 Lccn
 2003064956
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)54103450
Subject
 Algebraic number theory
 Algebraic number theory
 Automorphic forms
 Automorphic forms
 Automorphic forms
 Discontinuous groups
 Discontinuous groups
 Discontinuous groups
 Lfunctions
 Lfunctions
 Lfunctions
 Modular groups
 Modular groups
 Modular groups
 Siegel domains
 Siegel domains
 Siegel domains
 Algebraic number theory
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