Elliptic Functions and Modular Forms von Max Koecher | ISBN 9783662712238

Elliptic Functions and Modular Forms

von Max Koecher und Aloys Krieg
Mitwirkende
Autor / AutorinMax Koecher
Autor / AutorinAloys Krieg
Buchcover Elliptic Functions and Modular Forms | Max Koecher | EAN 9783662712238 | ISBN 3-662-71223-7 | ISBN 978-3-662-71223-8

Elliptic Functions and Modular Forms

von Max Koecher und Aloys Krieg
Mitwirkende
Autor / AutorinMax Koecher
Autor / AutorinAloys Krieg

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.