The Method Of Trigonometric Sums In The Theory Of Numbers
Author: I. M. Vinogradov
Added by: mirtitles
Added Date: 2021-09-23
Subjects: mathematics, soviet, trigonometry, theory of numbers, waring's problem, lemmas, weyl sums, polynomials, goldbach's problem
Collections: mir-titles, additional collections
Pages Count: 300
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Total Size: 135.08 MB
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Description
Since 1934 the analytic theory of numbers has been largely transformed by the work of Vinogradov. This work, which has led to remarkable new results, is characterized by its supreme ingenuity and great power.
Vinogradov has expounded his method and its applications in a series of papers and in two monographs *), which appeared in 1937 and 1947. The present book is a translation of the second of these monographs, which incorporated the improvements ef
fected by the author during the intervening ten years.
The text has been carefully revised and to some extent rewritten. The more difficult arguments have been set out in greater detail.
Notes have been added, in which we mention the more im portant changes made and comment on the subject-matter; we hope these will be of assistance or of interest to the reader.