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Elliptic functions and modular forms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elliptic functions and modular forms/ by Max Koecher, Aloys Krieg.
Author:	Koecher, Max.
other author:	Krieg, Aloys.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
Description:	viii, 364 p. :ill., digital ;24 cm.
[NT 15003449]:	1 Elliptic functions -- 2 Geometry in the upper-half plane and the action of the modular group -- 3 Modular forms -- 4 The Hecke-Petersson theory -- 5 Theta series.
Contained By:	Springer Nature eBook
Subject:	Elliptic functions. -
Online resource:	https://doi.org/10.1007/978-3-662-71224-5
ISBN:	9783662712245

Elliptic functions and modular forms
Koecher, Max.

Elliptic functions and modular forms[electronic resource] /by Max Koecher, Aloys Krieg. - Berlin, Heidelberg :Springer Berlin Heidelberg :2025. - viii, 364 p. :ill., digital ;24 cm. - Universitext,2191-6675. - Universitext..

1 Elliptic functions -- 2 Geometry in the upper-half plane and the action of the modular group -- 3 Modular forms -- 4 The Hecke-Petersson theory -- 5 Theta series.

The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass's approach to elliptic functions, they also cover elliptic curves and complex multiplication. The sections on modular forms, which can be read independently, include discussions of Hecke operators and Dirichlet series. Special emphasis is placed on theta series, with some advanced results included. With detailed proofs and numerous exercises, this book is well-suited for self-study or use as a reference. A companion website provides videos and a discussion forum on the topic.

ISBN: 9783662712245

Standard No.: 10.1007/978-3-662-71224-5doiSubjects--Topical Terms:

576021
Elliptic functions.

LC Class. No.: QA343

Dewey Class. No.: 515.983

Elliptic functions and modular forms
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240 1 0 $a Elliptische Funktionen und Modulformen. $l English
245 1 0 $a Elliptic functions and modular forms $h [electronic resource] / $c by Max Koecher, Aloys Krieg.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2025.
300 $a viii, 364 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 2191-6675
505 0 $a 1 Elliptic functions -- 2 Geometry in the upper-half plane and the action of the modular group -- 3 Modular forms -- 4 The Hecke-Petersson theory -- 5 Theta series.
520 $a The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrass's approach to elliptic functions, they also cover elliptic curves and complex multiplication. The sections on modular forms, which can be read independently, include discussions of Hecke operators and Dirichlet series. Special emphasis is placed on theta series, with some advanced results included. With detailed proofs and numerous exercises, this book is well-suited for self-study or use as a reference. A companion website provides videos and a discussion forum on the topic.
650 0 $a Elliptic functions. $3 576021
650 0 $a Forms, Modular. $3 540521
650 1 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Number Theory. $3 891078
650 2 4 $a Hyperbolic Geometry. $3 2072804
650 2 4 $a Group Theory and Generalizations. $3 893889
700 1 $a Krieg, Aloys. $3 1071141
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Universitext. $3 812115
856 4 0 $u https://doi.org/10.1007/978-3-662-71224-5
950 $a Mathematics and Statistics (SpringerNature-11649)