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Denote by N (n) the number of integer solutions (x₁, \, x₂, , xₙ) of the equation x₁+x₂++xₙ=x₁x₂ xₙ such that x₁ x₂ xₙ 1, n Z^+. The aim of this paper are is twofold: first we present an asymptotic formula for ₂ ₍ ₗN (n), then we verify that the counting function N (n) takes very large value compared to its average value.
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Sándor et al. (Sun,) studied this question.
synapsesocial.com/papers/68e69709b6db64358761d69c — DOI: https://doi.org/10.48550/arxiv.2405.11600
Csaba Sándor
Alfréd Rényi Institute of Mathematics
Maciej Zakarczemny
Cracow University of Technology
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