Heidi Goodson

collaborators

2 papers

math.NT2026

Nondegeneracy and Sato-Tate Distributions of Two Families of Jacobian Varieties

Melissa Emory, Heidi Goodson

We consider the curves $y^{2} = x^{2^{m}} - 1$ and $y^{2} = x^{2^{d} + 1} - x$ over the rationals. These curves are related via their associated Jacobian varieties in that the Jacobians of the la…

math.NT2025

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3

The local converse theorem for Rankin-Selberg gamma factors of $GL_{2} (F_{q})$ proved by Piatetski-Shapiro over $C$ no longer holds after reduction modulo $\…

Nondegeneracy and Sato-Tate Distributions of Two Families of Jacobian Varieties

Mod ℓ gamma factors and a converse theorem for finite general linear groups

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups