Abstract
Abstract
Let
be the set of positive integers whose binary decompositions contain an even number of ones. We give a bound for the trigonometric sum of special form over numbers in
; using this bound, we derive an asymptotic formula for the number of solutions to Waring’s equation in positive integers in
, and also a bound for the number of terms in the last equation, which is sufficient for the equation to be solvable in integers in
.
Bibliography: 9 titles.
Subject
Algebra and Number Theory
Cited by
1 articles.
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