書誌事項

Selected works

Ivan Matveevič Vinogradov ; prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday ; editors, L.D. Faddeev ... [et al.] ; [translated by Naidu Psv ; editor of the translation, Yu.A. Bakhturin]

(Springer Collected Works in Mathematics)

Springer, 2014

  • : softcover

この図書・雑誌をさがす

注記

"Reprint of the 1985 edition"--T.p.

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BB16240230
  • ISBN
    • 9783642553806
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    rus
  • 出版地
    Berlin
  • ページ数/冊数
    viii, 401 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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