The Least Common Multiple of a Bivariate Quadratic Sequence

2022/06/12 by Kimmel, Noam
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.05817

Abstract

Let F∈ℤ[x,y] be some polynomial of degree 2. In this paper we find the asymptotic behaviour of the least common multiple of the values of F up to N. More precisely, we consider ψ_F(N) = log(LCM_0

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