3 papers
math.NT2025
Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity
Steven Creech, Henry Twiss, Zhining Wei +1
We let be a half-integral weight modular form of weight on that is an eigenfunction of all Hecke operators , so that . Let…
math.NT2023
A converse theorem in half-integral weight
Steven Creech, Henry Twiss
In this paper, we prove a converse theorem for half-integral weight modular forms assuming functional equations for -series with additive twists. This result is an extension of…
math.NT2020
Secondary terms in the asymptotics of moments of L-functions
Adrian Diaconu, Henry Twiss
We propose a refined version of the existing conjectural asymptotic formula for the moments of the family of quadratic Dirichlet L-functions over rational function fields. Our pred…