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- - **Comprehensible book about modular forms**
(*https://www.mersenneforum.org/showthread.php?t=20296*)

Comprehensible book about modular formsI'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. |

[QUOTE=fivemack;403679]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.[/QUOTE] Terrific. I will have to get this book. |

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