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Selected Works: Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday 1985. Reprint 2014 of the 1985 edition [Mīkstie vāki]

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  • Formāts: Paperback / softback, 401 pages, height x width: 235x155 mm, weight: 629 g, VIII, 401 p., 1 Paperback / softback
  • Sērija : Springer Collected Works in Mathematics
  • Izdošanas datums: 04-Jul-2014
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 364255380X
  • ISBN-13: 9783642553806
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Selected Works: Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday 1985. Reprint 2014 of the 1985 editionPalielināt
  • Formāts: Paperback / softback, 401 pages, height x width: 235x155 mm, weight: 629 g, VIII, 401 p., 1 Paperback / softback
  • Sērija : Springer Collected Works in Mathematics
  • Izdošanas datums: 04-Jul-2014
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 364255380X
  • ISBN-13: 9783642553806
Citas grāmatas par šo tēmu:
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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.

Section I
A New Method of Deriving Asymptotic Expressions for Arithmetic Functions
3(25)
On the Mean Value of the Number of Classes of Proper Primitive Forms of Negative Discriminant
28(25)
On the Distribution of Power Residues and Non-Residues
53(4)
An Elementary Proof of a General Theorem in Analytic Number Theory
57(8)
On the Distribution of Indices
65(4)
On a Bound for the Least nth Power Non-Residue
69(9)
On the Distribution of Fractional Parts of Values of a Function of One Variable
78(7)
On the Distribution of Fractional Parts of Values of a Function of Two Variables
85(16)
On Waring's Theorem
101(6)
A New Estimate for G(n) in Waring's Problem
107(3)
On the Upper Bound for G(n) in Waring's Problem
110(14)
New Estimates for Weyl Sums
124(5)
Representation of an Odd Number as the Sum of Three Primes
129(4)
Estimates of Certain Simple Trigonometric Sums with Prime Numbers
133(27)
Certain Problems in Analytic Number Theory
160(12)
On the Distribution of the Fractional Parts of Values of a Polynomial
172(9)
Section II
The Method of Trigonometric Sums in Number Theory
181(118)
Section III
Special Variants of the Method of Trigonometric Sums
299(86)
Ivan Matveevic Vinogradov: A Brief Outline of His Life and Works (by K. K. Mardzhanishvili) 385(8)
A Chronological List of I. M. Vinogradov's Works 393