Z. Batang

activity

20192023

most citedInteger patterns in Collatz sequences

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.GM2023

On Fermat's Last Theorem for odd prime exponents

Zenon B. Batang

We show that the Fermat equation $x^{p} + y^{p} = z^{p}$ has no solutions in coprime positive integers $x, y, z$ for any odd prime $p$ .

math.GM2021

Squarefree integers and the $ab c$ conjecture

Zenon B. Batang

For coprime positive integers $a, b, c$ , where $a + b = c$ , $g cd (a, b, c) = 1$ and $1 \leq a < b$ , the famous $ab c$ conjecture (Masser and Oesterlè, 1985) states that for $ε > 0$ …

math.GM2019★ 1 cited

Integer patterns in Collatz sequences

Zenon B. Batang

The Collatz conjecture asserts that repeatedly iterating $f (x) = (3 x + 1) / 2^{a (x)}$ , where $a (x)$ is the highest exponent for which $2^{a (x)}$ exactly divides $3 x + 1$ , always lead t…

On Fermat's Last Theorem for odd prime exponents

Squarefree integers and the abc conjecture

Integer patterns in Collatz sequences

Squarefree integers and the $ab c$ conjecture