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math.NT2026
One-loop -adic string theory and the Néron local height function
An Huang, Christian Jepsen
The -adic string worldsheet action on the quotient of the Bruhat-Tits tree of by a genus 1 Schottky group has a dual description on the asymptotic boundary…
math.NT2026
Green's function on the Tate curve
An Huang, Rebecca Rohrlich, Yaojia Sun +1
Motivated by the question of defining a -adic string worldsheet action in genus one, we define a Laplacian operator on the Tate curve, and study its Green's function. We show th…
math.NT2025
Approximation of L-functions associated to Hecke cusp eigenforms
An Huang, Kamryn Spinelli
We derive a family of approximations for L-functions of Hecke cusp eigenforms, according to a recipe first described by Matiyasevich for the Riemann xi function. We show that these…