Selected Works

Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday

AvI.M. Vinogradov,L.D. Faddeev

Häftad, Engelska, 2014

Del i serien Springer Collected Works in Mathematics

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Beskrivning

I. M. Vinogradov (1891 - 1983) was one of the creators of modern analytic number theory. He graduated from the University of St. Petersburg, where in 1920 he became a Professor. From 1934 he was a Director of the Steklov Institute of Mathematics, a position he held for the rest of his life, except for five years during World War II. This edition includes a selection of articles, chosen by the author himself, which highlight the important stages of his scientific career. In addition to some early works, it contains the initial proofs of many of Vinogradov's basic theorems as well as the later improved versions, and also two substantial monographs.

Produktinformation

Utgivningsdatum:2014-07-04
Mått:155 x 235 x 23 mm
Vikt:622 g
Format:Häftad
Språk:Engelska
Serie:Springer Collected Works in Mathematics
Antal sidor:401
Upplaga:1985
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642553806
Översättare:Naidu, P.S.V., Naidu, P. S. V.

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Innehållsförteckning

A New Method of Deriving Asymptotic Expressions for Arithmetic Functions.- On the Mean Value of the Number of Classes of Proper Primitive Forms of Negative Discriminant.- On the Distribution of Power Residues and Non-Residues.- An Elementary Proof of a General Theorem in Analytic Number Theory.- On the Distribution of Indices.- On a Bound for the Least nth Power Non-Residue.- On the Distribution of Fractional Parts of Values of a Function of One Variable.- On the Distribution of Fractional Parts of Values of a Function of Two Variables.- On Waring's Theorem.- A New Estimate for G (n) in Waring's Problem.- On the Upper Bound for G (n) in Waring's Problem.- New Estimates for Weyl Sums.- Representation of an Odd Number as the Sum of Three Primes.- Estimates of Certain Simple Trigonometric Sums with Prime Numbers.- Certain Problems in Analytic Number Theory.- On the Distribution of the Fractional Parts of Values of a Polynomial.- The Method of Trigonometric Sums in Number Theory.- Special Variants of the Method of Trigonometric Sums.- Ivan Matveevic Vinogradov: A Brief Outline of His Life and Works.- A Chronological List of I. M. Vinogradov's Works.