Language:
English
繁體中文
Help
Login
Back
to Search results for
[ subject:"Forms, Modular." ]
Switch To:
Labeled
|
MARC Mode
|
ISBD
Siegel modular forms = a classical a...
~
SpringerLink (Online service)
Siegel modular forms = a classical and representation-theoretic approach /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Siegel modular forms/ by Ameya Pitale.
Reminder of title:
a classical and representation-theoretic approach /
Author:
Pitale, Ameya.
Published:
Cham :Springer International Publishing : : 2019.,
Description:
ix, 138 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Forms, Modular. -
Online resource:
https://doi.org/10.1007/978-3-030-15675-6
ISBN:
9783030156756
Siegel modular forms = a classical and representation-theoretic approach /
Pitale, Ameya.
Siegel modular forms
a classical and representation-theoretic approach /[electronic resource] :by Ameya Pitale. - Cham :Springer International Publishing :2019. - ix, 138 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22400075-8434 ;. - Lecture notes in mathematics ;1943..
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation. Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.
ISBN: 9783030156756
Standard No.: 10.1007/978-3-030-15675-6doiSubjects--Topical Terms:
580384
Forms, Modular.
LC Class. No.: QA243 / .P583 2019
Dewey Class. No.: 512.73
Siegel modular forms = a classical and representation-theoretic approach /
LDR
:02138nam a2200325 a 4500
001
940653
003
DE-He213
005
20191104113239.0
006
m d
007
cr nn 008maaau
008
200417s2019 gw s 0 eng d
020
$a
9783030156756
$q
(electronic bk.)
020
$a
9783030156749
$q
(paper)
024
7
$a
10.1007/978-3-030-15675-6
$2
doi
035
$a
978-3-030-15675-6
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA243
$b
.P583 2019
072
7
$a
PBH
$2
bicssc
072
7
$a
MAT022000
$2
bisacsh
072
7
$a
PBH
$2
thema
082
0 4
$a
512.73
$2
23
090
$a
QA243
$b
.P681 2019
100
1
$a
Pitale, Ameya.
$3
1227425
245
1 0
$a
Siegel modular forms
$h
[electronic resource] :
$b
a classical and representation-theoretic approach /
$c
by Ameya Pitale.
260
$a
Cham :
$c
2019.
$b
Springer International Publishing :
$b
Imprint: Springer,
300
$a
ix, 138 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Lecture notes in mathematics,
$x
0075-8434 ;
$v
v.2240
520
$a
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation. Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.
650
0
$a
Forms, Modular.
$3
580384
650
1 4
$a
Number Theory.
$3
672023
650
2 4
$a
Group Theory and Generalizations.
$3
672112
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Lecture notes in mathematics ;
$v
1943.
$3
882220
856
4 0
$u
https://doi.org/10.1007/978-3-030-15675-6
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login