Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis

ISBN-10: 0821807374
ISBN-13: 9780821807378
Edition: N/A
List price: $38.00
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Description: This book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis.  More...

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Book details

List price: $38.00
Publisher: American Mathematical Society
Publication date: 10/11/1994
Binding: Paperback
Pages: 220
Size: 7.25" wide x 10.00" long x 0.50" tall
Weight: 0.880
Language: English

This book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.

Uniform distribution van der Corput sets Exponential sums
The methods of Weyl and van der Corput Exponential sums
Vinogradov's method An introduction to Turan's method Irregularities of distribution
Mean and large values of Dirichlet polynomials Distribution of reduced residue classes in short intervals
Zeros of $L$-functions Small polynomials with integral coefficients Some unsolved problems
Index

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