The Resource Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov
Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov
Resource Information
The item Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov 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 Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov 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
- 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
- Language
-
- eng
- dut
- eng
- Extent
- 1 online resource (xi, 182 pages)
- 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.-
- Isbn
- 9780387787534
- Label
- Introduction to Siegel modular forms and Dirichlet series
- Title
- Introduction to Siegel modular forms and Dirichlet series
- Statement of responsibility
- Anatoli Andrianov
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Introduction-to-Siegel-modular-forms-and/q02UwzNtbFM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Introduction-to-Siegel-modular-forms-and/q02UwzNtbFM/">Introduction to Siegel modular forms and Dirichlet series, Anatoli Andrianov</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
