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The Resource Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov

Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov

Label
Introduction to Siegel modular forms and Dirichlet series
Title
Introduction to Siegel modular forms and Dirichlet series
Statement of responsibility
Anatoli Andrianov
Creator
Subject
Language
  • eng
  • dut
  • eng
Summary
Introduction to Siegel Modular Forms and Dirichlet Series gives a concise and self-contained introduction to the multiplicative theory of Siegel modular forms, Hecke operators, and zeta functions, including the classical case of modular forms in one variable. It serves to attract young researchers to this beautiful field and makes the initial steps more pleasant. It treats a number of questions that are rarely mentioned in other books. It is the first and only book so far on Siegel modular forms that introduces such important topics as analytic continuation and the functional equation of spinor zeta functions of Siegel modular forms of genus two. Unique features include: * New, simplified approaches and a fresh outlook on classical problems * The abstract theory of Heckeâ€"(BShimura rings for symplectic and related groups * The action of Hecke operators on Siegel modular forms * Applications of Hecke operators to a study of the multiplicative properties of Fourier coefficients of modular forms * The proof of analytic continuation and the functional equation (under certain assumptions) for Euler products associated with modular forms of genus two *Numerous exercises Anatoli Andrianov is a leading researcher at the St. Petersburg branch of the Steklov Mathematical Institute of the Russian Academy of Sciences. He is well known for his works on the arithmetic theory of automorphic functions and quadratic forms, a topic on which he has lectured at many universities around the world
Member of
Cataloging source
CUS
http://library.link/vocab/creatorName
Andrianov, A. N.
Dewey number
512.7/3
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA300
LC item number
.A53 2009
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext
http://library.link/vocab/subjectName
  • Siegel domains
  • Dirichlet series
  • Hecke operators
  • Dirichlet series
  • Hecke operators
  • Siegel domains
  • Dirichlet-Reihe
  • Siegel-Modulform
Label
Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 175-177) 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
Preface -- Introduction: The Two Features of Arithmetical Zeta Functions -- Modular Forms -- Dirichlet Series of Modular Forms -- Hecke-Shimura Rings of Double Cosets -- Hecke Operators -- Euler Factorization of Radial Series -- Conclusion: Other Groups, Other Horizons -- Notes -- Short Bibliography.-
Control code
600257255
Extent
1 online resource (xi, 182 pages)
Form of item
online
Isbn
9780387787534
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-78753-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-78752-7
Publisher number
12183722
Specific material designation
remote
System control number
(OCoLC)600257255
Label
Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov
Publication
Bibliography note
Includes bibliographical references (pages 175-177) 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
Preface -- Introduction: The Two Features of Arithmetical Zeta Functions -- Modular Forms -- Dirichlet Series of Modular Forms -- Hecke-Shimura Rings of Double Cosets -- Hecke Operators -- Euler Factorization of Radial Series -- Conclusion: Other Groups, Other Horizons -- Notes -- Short Bibliography.-
Control code
600257255
Extent
1 online resource (xi, 182 pages)
Form of item
online
Isbn
9780387787534
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-78753-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-78752-7
Publisher number
12183722
Specific material designation
remote
System control number
(OCoLC)600257255

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