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Elliptic functions and modular forms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elliptic functions and modular formsby 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.
Contained By:	Springer Nature eBook
Subject:	Elliptic functions.
Online resource:	https://doi.org/10.1007/978-3-662-71224-5
ISBN:	9783662712245$q(electronic bk.)

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$q(electronic bk.)

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

277226
Elliptic functions.

LC Class. No.: QA343

Dewey Class. No.: 515.983

Elliptic functions and modular forms
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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.
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650 0 $a Forms, Modular. $3 272963
650 1 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Number Theory. $3 274059
650 2 4 $a Hyperbolic Geometry. $3 684054
650 2 4 $a Group Theory and Generalizations. $3 274819
700 1 $a Krieg, Aloys. $3 467802
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950 $a Mathematics and Statistics (SpringerNature-11649)