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Old 2015-06-08, 11:02   #1
fivemack
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Feb 2006
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Default Comprehensible book about modular forms

I've just bought, and am quite enjoying, Lloyd Kilford's "Modular Forms: A Classical and Computational Introduction", of which a new edition came out last week.

I really like the focus on how finite-dimensionality results both make modular forms practical to compute with, and are responsible for lots of the wonderful identities because, once you've demonstrated both sides are a modular form of an appropriate weight and level, you have a small finite (or, at weight twelve and level one, a trivial) computation to show that they're equal.
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Old 2015-06-08, 15:55   #2
R.D. Silverman
 
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Nov 2003

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Quote:
Originally Posted by fivemack View Post
I've just bought, and am quite enjoying, Lloyd Kilford's "Modular Forms: A Classical and Computational Introduction", of which a new edition came out last week.

I really like the focus on how finite-dimensionality results both make modular forms practical to compute with, and are responsible for lots of the wonderful identities because, once you've demonstrated both sides are a modular form of an appropriate weight and level, you have a small finite (or, at weight twelve and level one, a trivial) computation to show that they're equal.
Terrific. I will have to get this book.
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