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5.0 out of 5 stars Best introduction to automorphic forms, February 14, 2012
By 
Jordan Bell (Toronto, Canada) - See all my reviews
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This review is from: Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics) (Paperback)
The first chapter of this book is over 100 pages and is a great introduction to classical automorphic forms, and explains why we are interested in looking at L-functions arising from automorphic forms. It has the clearest proof I've seen of the dimension formula for the space of modular forms of weight k for the full modular group. The book also has the best presentation I've seen of Hecke operators. The exercises in the book are well chosen and have enough hints that they are actually doable by a patient reader. Maass forms are introduced much better here than in Iwaniec's book. Bump is a careful and precise writer, and this book is a pleasure to read. I highly recommend it.
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Automorphic Forms and Representations (Cambridge Studies in Advanced Mathematics)
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