Henry Twiss

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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 $I^º > 4$ on $I^_{0} (4)$ that is an eigenfunction of all Hecke operators $T_{n}$ , so that $T_{n} f = I^_{f} (n) n^{\frac{I ^ º - 1}{2}} f$ .…

math.NT2024

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…