Mario DeFranco

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20182026

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1 citations · 2 across the 15 of their papers we have counts for

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math.NT2026

A Boolean polynomial operator for the Collatz $3 n + 1$ problem

Mario DeFranco

We define a reformulation of the Collatz $3 n + 1$ map which allows us to express it as an operator on the set of sequences of Boolean polynomials. We express this operator in terms o…

math.GM2026

Multi-point variants of the Newton-Raphson-Simpson method arising from organizing a formal zero according to a function $ϕ$

Mario DeFranco

Fix an integer $L \geq 1$ , and a function $ϕ : Z_{\geq 1} \to [0, L] \cap Z$ with $ϕ^{- 1} ({0}) = {1}$ . We define a multi-point variant of the Newt…

math.CO2026

On Boolean polynomials and the Union-Closed Conjecture

Mario DeFranco

For a set of $m$ subsets of a universe set of size $n$ , we construct a Boolean polynomial $ICC_{m, n} (X)$ such that the Union-Closed Conjecture is true for this $m$ and $n$ …

A Boolean polynomial operator for the Collatz 3n+1 problem

Multi-point variants of the Newton-Raphson-Simpson method arising from organizing a formal zero according to a function ϕ

On Boolean polynomials and the Union-Closed Conjecture

A Boolean polynomial operator for the Collatz $3 n + 1$ problem

Multi-point variants of the Newton-Raphson-Simpson method arising from organizing a formal zero according to a function $ϕ$