This article is cited in 2 papers

On the number of summands in the asymptotic formula for the number of solutions to Waring's equation

A. V. Ustinov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In the paper, an estimate of the number of summands in the asymptotic formula for the number of solutions to Waring's equation is obtained. This is achieved by means of a recurrent process leading to a greater reduction than that in Vinogradov's mean value theorem.

UDC: 511.3

Received: 23.03.1998

DOI: 10.4213/mzm1396

 English version: Mathematical Notes, 1998, 64:2, 240–250

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