Matthew Kroesche

collaborators

2 papers

math.HO2025

Carl Størmer and his Numbers

Matthew Kroesche, Lance L. Littlejohn, Graeme Reinhart

In many proofs of Fermat's Two Squares Theorem, the smallest least residue solution $x_{0}$ of the quadratic congruence $x^{2} \equiv - 1 mod p$ plays an essential role; here $p$ is p…

math.NT2023

Low-Lying Zeros of a Thin Family of Automorphic $L$ -Functions in the Level Aspect

Matthew Kroesche

We calculate the one-level density of thin subfamilies of a family of Hecke cuspforms formed by twisting the forms in a smaller family by a character. The result gives support up t…

Carl Størmer and his Numbers

Low-Lying Zeros of a Thin Family of Automorphic L-Functions in the Level Aspect

Low-Lying Zeros of a Thin Family of Automorphic $L$ -Functions in the Level Aspect