FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 4, PAGES 1239-1252

The new elementary solution of the Waring problem

A. Bufetov
A. Ya. Kanel

Abstract

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In this paper a new elementary solution of the Waring problem is presented. Waring problem asserts that for any positive integer $k$ there exists a positive integer $n$ such that any positive integer can be presented as the sum of $n$ $k$-th powers of nonnegative integers.

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