Coverart for item
The Resource Non-Archimedean L-functions of Siegel and Hilbert modular forms, Alexey A. Panchishkin

Non-Archimedean L-functions of Siegel and Hilbert modular forms, Alexey A. Panchishkin

Label
Non-Archimedean L-functions of Siegel and Hilbert modular forms
Title
Non-Archimedean L-functions of Siegel and Hilbert modular forms
Statement of responsibility
Alexey A. Panchishkin
Creator
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
OCLCE
http://library.link/vocab/creatorName
Panchishkin, A. A.
Dewey number
512.73
Index
index present
LC call number
QA3
LC item number
.L33 no.1471
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics
Series volume
1471
http://library.link/vocab/subjectName
  • Forms, Modular
  • Hilbert modular surfaces
  • Siegel domains
  • Nonstandard mathematical analysis
  • Functions, Zeta
  • Fonctions L
  • Formes modulaires
  • Surfaces modulaires de Hilbert
  • Forms, Modular
  • Functions, Zeta
  • Hilbert modular surfaces
  • Nonstandard mathematical analysis
  • Siegel domains
  • L-functions
  • Functions, Zeta
  • Forms, Modular
  • Formes modulaires
  • Hilbert, Surfaces modulaires de
  • Siegel, Domaines de
  • Analyse mathématique non standard
Label
Non-Archimedean L-functions of Siegel and Hilbert modular forms, Alexey A. Panchishkin
Instantiates
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 146-154) 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
Content -- Acknowledgement -- 1. Non-Archimedean analytic functions, measures and distributions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Non-Archimedean standard zeta functions of Siegel modular forms -- 4. Non-Archimedean convolutions of Hilbert modular forms -- References
Control code
654470646
Dimensions
unknown
Extent
1 online resource (157 pages).
File format
one file format
Form of item
online
Isbn
9783662215418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-21541-8
Specific material designation
remote
System control number
(OCoLC)654470646
Label
Non-Archimedean L-functions of Siegel and Hilbert modular forms, Alexey A. Panchishkin
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 146-154) 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
Content -- Acknowledgement -- 1. Non-Archimedean analytic functions, measures and distributions -- 2. Siegel modular forms and the holomorphic projection operator -- 3. Non-Archimedean standard zeta functions of Siegel modular forms -- 4. Non-Archimedean convolutions of Hilbert modular forms -- References
Control code
654470646
Dimensions
unknown
Extent
1 online resource (157 pages).
File format
one file format
Form of item
online
Isbn
9783662215418
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-21541-8
Specific material designation
remote
System control number
(OCoLC)654470646

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