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math.CO2024
Product representation of perfect cubes
Zsigmond György Fleiner, Márk Hunor Juhász, Blanka Kövér +2
Let be the maximal size of a set such that the equation \[a_1a_2\dots a_k=x^d, \; a_1<a_2<\ldots<a_k\] has no solution with $a_1,a_2,\ldots,a_k\in {…
math.NT2024
Equal Sum and Product Problem III
Csaba Sándor, Maciej Zakarczemny
Denote by the number of integer solutions of the equation such that $x_1\ge x_2\ge\ldots\ge x_n\ge…