Customer Reviews

Analytic Number Theory (Colloquium Publications, Vol. 53) (Colloquium Publications (Amer Mathematical Soc))

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This book covers an amazing amount of material and is an extremely good reference, going from more classical topics to spectral methods of automorphic forms and even mentioning the GUE hypothesis and the distribution of zeroes of L-functions. But this is not a book for average beginners or for self-study, as many of the proofs contain next to no detail.

The authors (especially the first-named author, on whose course notes the book is based) are some of the best people in the field, and the book contains a wealth of information, but the organization is, um, non-existent -- results in section a.b might require results in section a+N.b+M at best, and something the authors thought about ten years ago at worst, some of the more interesting results are hidden in the exercises, etc, etc. So, if you are learning the field, DO get it, but don't try too hard to read it.