Ten lectures on the interface between analytic number theory and harmonic analysis
著者
書誌事項
Ten lectures on the interface between analytic number theory and harmonic analysis
（Regional conference series in mathematics, no. 84）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1994
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注記
"Expository lectures from the NSF-CBMS regional conference held at Kansas State University, Manhattan, May 22-25, 1990"--T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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 One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature.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.
目次
Uniform distribution van der Corput sets Exponential sums I: The methods of Weyl and van der Corput Exponential sums II: 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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