Ricky Cipollini

collaborators

3 papers

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 $f (n)$ …

math.CO2026

A sharp 5/8 bound for an Erdős-Sós pairwise-sums problem

Ricky Cipollini

Let $f_{3} (N)$ be the least integer such that every set $A \subseteq {1, \dots, N}$ of size at least $f_{3} (N)$ contains distinct elements $a, b, c \in A$ such that $a + b \in A$ , $a + c \in A$ ,…