Jonathan Chappelon

activity

20082026

most citedMöbius function of semigroup posets through Hilbert series

5 citations · 27 across the 19 of their papers we have counts for

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math.NT2020

The Square Frobenius Number

Jonathan Chappelon, Jorge Luis Ramírez Alfonsín

Let $S = ⟨ s_{1}, \dots, s_{n} ⟩$ be a numerical semigroup generated by the relatively prime positive integers $s_{1}, \dots, s_{n}$ . Let $k ⩾ 2$ be an integer. In…

math.NT2010★ 3 cited

On generalized Frame-Stewart numbers

Jonathan Chappelon, Akihiro Matsuura

For the multi-peg Tower of Hanoi problem with $k ⩾ 4$ pegs, so far the best solution is obtained by the Stewart's algorithm based on the the following recurrence relation:…

math.NT2009

On the multiplicative order of $a^{n}$ modulo $n$

Jonathan Chappelon

Let $n$ be a positive integer and $α_{n}$ be the arithmetic function which assigns the multiplicative order of $a^{n}$ modulo $n$ to every integer $a$ coprime to $n$ and vanishes elsew…

The Square Frobenius Number

On generalized Frame-Stewart numbers

On the multiplicative order of an modulo n

On the multiplicative order of $a^{n}$ modulo $n$