J. Koninck

most citedRepetitions of multinomial coefficients and a generalization of Singmaster's conjecture

2 citations · 2 across the 1 of their papers we have counts for

collaborators

2 papers

math.NT2021★ 2 cited

Repetitions of multinomial coefficients and a generalization of Singmaster's conjecture

Jean-Marie de Koninck, Nicolas Doyon, William Verreault

Given two integers $k \geq 2$ and $a > 1$ , let $N_{k} (a)$ stand for the number of multinomial coefficients, with $k$ terms, equal to $a$ . We study the behavior of $N_{k} (a)$ and show that…

math.NT2018

New upper bounds for the number of divisors function

Jean-Marie De Koninck, Patrick Letendre

Let $τ (n)$ stand for the number of divisors of the positive integer $n$ . We obtain upper bounds for $τ (n)$ in terms of $lo g n$ and the number of distinct prime factors of $n$ .