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

Hugh L. Montgomery (Autor)

Buch | Softcover

220 Seiten

1994
American Mathematical Society (Verlag)
978-0-8218-0737-8 (ISBN)

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Focuses on topics in analytic number theory that involve ideas from harmonic analysis. This work is suitable for harmonic analysts interested in moving into research in analytic number theory.

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 One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature.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 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.

Erscheint lt. Verlag	1.12.1994
Reihe/Serie	CBMS Regional Conference Series in Mathematics
Zusatzinfo	index
Verlagsort	Providence
Sprache	englisch
Gewicht	440 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-8218-0737-4 / 0821807374
ISBN-13	978-0-8218-0737-8 / 9780821807378
Zustand	Neuware