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Elliptic functions and modular forms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Elliptic functions and modular forms/ by Max Koecher, Aloys Krieg.
作者:	Koecher, Max.
其他作者:	Krieg, Aloys.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
面頁冊數:	viii, 364 p. :ill., digital ;24 cm.
內容註:	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
標題:	Elliptic functions. -
電子資源:	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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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 1 4 $a Functions of a Complex Variable. $3 897310
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650 2 4 $a Hyperbolic Geometry. $3 2072804
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