Representation of positive integers by the form x₁...x_k + x₁ + ... + x_k

2015/08/17 by Shevelev, Vladimir
#11N32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1508.03970

Abstract

For an arbitrary given k≥3, we consider a possibility of representation of a positive number n by the form x₁...x_k+x₁+...+x_k, 1≤ x₁≤ ... ≤ x_k. We also study a question on the smallest value of k≥3 in such a representation.

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