S. Garcia

collaborators

2 papers

math.CV2026

Fermat's Last Theorem in star-invariant subspaces: capacity-zero boundary spectrum

Stephan Ramon Garcia

We prove that the Fermat equation $f^{n} + g^{n} = h^{n}$ with exponent $n \geq 4$ has no nontrivial solutions $f, g, h$ in the star-invariant subspace $K_{θ}^{p}$ , in which $1 \leq p \leq \infty$ , wh…

math.NT2025

Moments of Gaussian Periods and Modified Fermat Curves

Stephan Ramon Garcia, Brian Lorenz, George Todd

We use supercharacter theory to study moments of Gaussian periods. For $p - 1 = d k$ and fixed $k$ , we compute the fourth absolute moments for all but finitely many primes $p$ . For $d$ …