Coverart for item
The Resource Siegel's modular forms and Dirichlet series : course given at the University of Maryland, 1969-1970, Hans Maaß

Siegel's modular forms and Dirichlet series : course given at the University of Maryland, 1969-1970, Hans Maaß

Label
Siegel's modular forms and Dirichlet series : course given at the University of Maryland, 1969-1970
Title
Siegel's modular forms and Dirichlet series
Title remainder
course given at the University of Maryland, 1969-1970
Statement of responsibility
Hans Maaß
Title variation
Course given at the University of Maryland, 1969-1970
Creator
Subject
Language
eng
Summary
These notes present the content of a course I delivered at the University of Maryland, College Park, between September 1969 and April 1970. The choice of the subject was mainly determined by my intention to show how Atle Selberg makes fascinating use of differential operators in order to prove certain functional equations. Of course one has to be somewhat familiar with his theory of weakly symmetric Riemannian spaces, but - as Selberg himself pointed out to me the main idea can be found already in Riemann's work. Since Selberg never published his idea, it might be of some value for the mathematical community to make available to a wider public the methods which were originally conceived by Selberg a long time ago
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Maass, Hans
Dewey number
510.8
Index
no index present
LC call number
  • QA3
  • QA244
LC item number
.L28 no. 216
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
216
http://library.link/vocab/subjectName
  • Forms, Modular
  • Modular groups
  • Dirichlet series
  • Formes (Mathématiques)
  • Dirichlet, Séries de
  • Dirichlet series
  • Forms, Modular
  • Modular groups
  • Analytische Zahlentheorie
  • Dirichlet-Reihe
  • Modulform
  • Siegel-Modulform
  • Number Theory
Label
Siegel's modular forms and Dirichlet series : course given at the University of Maryland, 1969-1970, Hans Maaß
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 326-328)
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
Preliminary remarks on topological groups -- Automorphism groups of bilinear forms -- Geometry in the representation space -- Symplectic geometry -- Weakly symmetric Riemannian spaces -- The Riemannian space of all positive matrices -- A generalization of [italic capital]J[subscript italic]s(X) -- The Riemannian space [lowercase Greek]Xi x [double-struck capital]R/2[lowercase Greek]Pi[double-struck capital]Z -- The reduction theory of positive quadratic forms -- Größen-characters of quadratic forms -- The modular group of degree [lowercase italic]n -- The fundamental domain of the modular group -- Modular forms of degree [lowercase italic]n -- Report on Eisenstein series of the modular group -- Dirichlet series corresponding to modular forms -- Zeta functions attached to quadratic forms -- Selberg's zeta functions -- Non-analytic Eisenstein series -- The differential operaton M[subscript lowercase Greek]Alpha -- Final aspects
Control code
295019931
Dimensions
unknown
Extent
1 online resource (328 pages).
Form of item
online
Isbn
9783540368816
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)295019931
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Siegel's modular forms and Dirichlet series : course given at the University of Maryland, 1969-1970, Hans Maaß
Publication
Bibliography note
Includes bibliographical references (pages 326-328)
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
Preliminary remarks on topological groups -- Automorphism groups of bilinear forms -- Geometry in the representation space -- Symplectic geometry -- Weakly symmetric Riemannian spaces -- The Riemannian space of all positive matrices -- A generalization of [italic capital]J[subscript italic]s(X) -- The Riemannian space [lowercase Greek]Xi x [double-struck capital]R/2[lowercase Greek]Pi[double-struck capital]Z -- The reduction theory of positive quadratic forms -- Größen-characters of quadratic forms -- The modular group of degree [lowercase italic]n -- The fundamental domain of the modular group -- Modular forms of degree [lowercase italic]n -- Report on Eisenstein series of the modular group -- Dirichlet series corresponding to modular forms -- Zeta functions attached to quadratic forms -- Selberg's zeta functions -- Non-analytic Eisenstein series -- The differential operaton M[subscript lowercase Greek]Alpha -- Final aspects
Control code
295019931
Dimensions
unknown
Extent
1 online resource (328 pages).
Form of item
online
Isbn
9783540368816
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)295019931
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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