Henry Twiss

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20202025

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math.NT2025

Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity

Steven Creech, Henry Twiss, Zhining Wei +1

We let $f$ be a half-integral weight modular form of weight $κ > 4$ on $Γ_{0} (4)$ that is an eigenfunction of all Hecke operators $T_{n}$ , so that $T_{n} f = Λ_{f} (n) n^{\frac{κ - 1}{2}} f$ . 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 $L$ -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…