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A first course in modular forms

Author: Fred Diamond; Jerry Michael Shurman
Publisher: New York : Springer, 2005.
Series: Graduate texts in mathematics, 228.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"A First Course in Modular Forms is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout."--Jacket.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Diamond, Fred.
First course in modular forms.
New York : Springer, 2005
(DLC) 2004058971
(OCoLC)56615860
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fred Diamond; Jerry Michael Shurman
ISBN: 038723229X 9780387232294 9780387272269 0387272267
OCLC Number: 209823913
Description: 1 online resource (xv, 436 pages) : illustrations.
Contents: Modular forms, elliptic curves, and modular curves --
Modular curves as Riemann surfaces --
Dimension formulas --
Eisenstein series --
Hecke operators --
Jacobians and Abelian varieties --
Modular curves as algebraic curves --
The Eichler-Shimura relation and L-functions --
Galois representations.
Series Title: Graduate texts in mathematics, 228.
Responsibility: Fred Diamond, Jerry Shurman.
More information:

Abstract:

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The Theorem is stated in various forms, related to each  Read more...

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From the reviews:"The textbook under review provides a modern introduction to the theory of modular forms, with the aim to explain the modularity theorem to beginning graduate students and advanced Read more...

 
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