Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, Wydanie 84

Przednia okładka
American Mathematical Soc. - 220
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 One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature.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.

Z wnętrza książki

Co mówią ludzie - Napisz recenzję

Nie znaleziono żadnych recenzji w standardowych lokalizacjach.

Wybrane strony

Spis treści

Chapter 1 Uniform Distribution
Chapter 2 van der Corput Sets
The Methods of Weyl and van der Corput
Vinogradovs Method
Chapter 5 An Introduction to Turáns Method
Chapter 6 Irregularities of Distribution
Chapter 7 Mean and Large Values of Dirichlet Polynomials
Chapter 8 Distribution of Reduced Residue Classes in Short Intervals
Chapter 9 Zeros of LFunctions
Chapter 10 Small Polynomials with Integral Coefficients
Prawa autorskie

Inne wydania - Wyświetl wszystko

Kluczowe wyrazy i wyrażenia

Popularne fragmenty

Strona 63 - H. Iwaniec and CJ Mozzochi, On the divisor and circle problems, J. Number Theory 29 (1988), 60-93.
Strona 192 - Lachance, EB Saff, and RS Varga, Bounds for incomplete polynomials vanishing at both endpoints of an interval, Constructive approaches to mathematical models (Pittsburgh, 1978), Academic Press, New York, 1979, pp.
Strona 147 - Hardy and JE Littlewood, Notes on the theory of series (XIX,): A problem concerning majorants of Fourier series, Quart. J. Math. Oxford Ser.
Strona 63 - On van der Corput's method and the zeta-function of Riemann (IV)': Quart. J. of Math. (Oxford), 5 (1934), 98-105. Using this result in (3) we shall have AN < AN'*N*log*N, ie N' > ANflog*N, ie G(T) > AT/\o^T.
Strona 209 - PI (n ) be the number of ways of writing n as a sum of two odd primes.
Strona 149 - JD Vaaler, Some extremal functions in Fourier analysis. Bull. Amer. Math. Soc. 12 (1985), 183-216.
Strona 83 - LJ Mordell, On a sum analogous to a Gauss's sum, Quart. J. Math.
Strona 38 - Connections between the uniform distribution of a sequence and its differences', Topics in classical number theory. Coll. Math. Soc.
Strona 15 - Erdd's in Diophantine approximation, Bull. London Math. Soc. 12(1980), 81-88. [36] H. Weyl, Uber ein Problem aus dem Gebiete der diophantischen Approximationen, Nachr. Ges. Wiss.

Informacje bibliograficzne