Ricky Cipollini

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

Elimination of René Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid Problem

Ricky Cipollini

Recently, René Peschmann proved perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers with $max (m, n) \leq 100$ , leaving 968 fibers in the same bounded parameter range. In…

math.NT2026

Optimality of Wouter van Doorn's Upper Bound for the Mayer-Erdős Farey Problem

Ricky Cipollini

Let $F_{n}$ be the Farey sequence of order $n$ , written in increasing order. Call two fractions $\frac{a}{b} < \frac{c}{d}$ badly ordered if $a < c$ and $b > d$ . Let $f (n)$ …