Elliptic functions and modular forms

By:

Koecher, Max

Contributor(s):

Krieg, Aloys [Co-author]

Series: UniversitextPublication details: Berlin: Springer, 2025.Description: viii, 364p.: pbk.: 24 cmISBN:

9783662712238

Subject(s):

DDC classification:

516.9 KOE

Summary: 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. https://link.springer.com/book/10.1007/978-3-662-71224-5#overview

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	516.9 KOE (Browse shelf(Opens below))	1	Checked out	20/01/2026	036384

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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.

https://link.springer.com/book/10.1007/978-3-662-71224-5#overview

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