Coverart for item
The Resource Non-Archimedean L-functions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin

Non-Archimedean L-functions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin

Label
Non-Archimedean L-functions and arithmetical Siegel modular forms
Title
Non-Archimedean L-functions and arithmetical Siegel modular forms
Statement of responsibility
Michel Courtieu, Alexei Panchishkin
Creator
Contributor
Subject
Language
eng
Summary
This book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions 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 p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms
Member of
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
  • L-functions
  • Siegel domains
  • Modular groups
  • Discontinuous groups
  • Automorphic forms
  • Algebraic number theory
  • Algebraic number theory
  • Automorphic forms
  • Discontinuous groups
  • L-functions
  • Modular groups
  • Siegel domains
Label
Non-Archimedean L-functions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 187-193) 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. Non-Archimedean analytic functions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Arithmetical differential operators -- 4. Admissible measures for standard L-functions
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
Non-Archimedean L-functions and arithmetical Siegel modular forms, Michel Courtieu, Alexei Panchishkin
Publication
Bibliography note
Includes bibliographical references (pages 187-193) 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. Non-Archimedean analytic functions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Arithmetical differential operators -- 4. Admissible measures for standard L-functions
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

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