Hong Liu
Abstract
Let n be a postive integer, a(n) is a square complements of n, that is ,a(n) is the smallest integer k such that nk is a perfeet square. The main purpose of this paper is to study the mean value property of a(n), and use the elementary methods to give two interesting asymptotic formulas.
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Let n be a postive integer, a(n) is a square complements of n, that is ,a(n) is the smallest integer k such that nk is a perfeet square. The main purpose of this paper is to study the mean value property of a(n), and use the elementary methods to give two interesting asymptotic formulas.
Key concepts: Integer (computer science), Square (algebra), Mathematics, Combinatorics, Property (philosophy), Value (mathematics), Asymptotic formula, Square number