Blick ins Buch

Selected Works

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

I.M. Vinogradov (Autor)

L.D. Faddeev, R.V. Gamkrelidze, A.A. Karatsuba, K.K. Mardzhanishvili, E.F. Mishchenko, Y.A. Bakhturin (Herausgeber)

Buch | Softcover

VIII, 401 Seiten

2014 | 1985. Reprint 2014 of the 1985 edition
Springer Berlin (Verlag)
978-3-642-55380-6 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

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.

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.

Erscheint lt. Verlag	4.7.2014
Reihe/Serie	Springer Collected Works in Mathematics
Übersetzer	P.S.V. Naidu
Zusatzinfo	VIII, 401 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	629 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Number Theory • trigonometric sums • Waring s theorem • Waring´s theorem
ISBN-10	3-642-55380-X / 364255380X
ISBN-13	978-3-642-55380-6 / 9783642553806
Zustand	Neuware