R. Laniewski

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math.GM2026

Primitive norm extraction and a signed descent for the cubic Fermat equation

R. Laniewski

We give a self-contained proof of the cubic case of Fermat's theorem through a signed form of Euler's descent, with the required extraction step proved directly in $\mathbb{Z}[\sqr…

math.GM2026

Radical defects, Wieferich primes, and the $ab c$ conjecture

R. Laniewski

For coprime $a + b = c$ , the parity class in which $a$ and $b$ are odd and $c$ is even admits an exact treatment. Triples are measured by the radical excess $E_{\varepsilon}=\log c-(1+…

Primitive norm extraction and a signed descent for the cubic Fermat equation

Radical defects, Wieferich primes, and the abc conjecture

Radical defects, Wieferich primes, and the $ab c$ conjecture