My papers are oganized by publication, preprint, or in-progress stages.
Publications
A. Diaconu, H. Twiss. Secondary terms in the asymptotics of moments of L-functions. JNT PRIME, 2023; jnt.2023.04.010.
Preprints
K. Benli, S. Goel, H. Twiss, A. Zaman. Explicit Deuring–Heilbronn phenomenon for Dirichlet L-functions. Preprint, 2024; arXiv:2410.06082.
S. Creech, H. Twiss. A converse theorem in half-integral weight. Preprint, 2023; arXiv:2306.02872.
In-progress
S. Creech, H. Twiss, Z. Wei, P. Zenz. Second moment of twisted central values of half-integral weight modular forms.
J. Hoffstein, H. Twiss. Subconvexity for second moments of L-functions twisted by characters.
My manuscripts are organized into texts and expository articles. For all of these manuscripts, the LaTeX is made publically available on my GitHub.
Texts
H. Twiss. An introduction to number theory. Updated periodically with new material.
Expository Articles
H. Twiss. A quadratic double Dirichlet series II: the number field case. 2024.
H. Twiss. A multiple Dirichlet series approach to shifted convolution sums. 2024.
H. Twiss. Weyl group multiple Dirichlet series over function fields. 2024.
H. Twiss. A root systems primer. 2024.
H. Twiss. A quadratic double Dirichlet series I: the function field case. 2024.
H. Twiss. Uniquness theorems for Rankin-Selberg L-functions. 2023.
H. Twiss. Modularity for the quadratic theta function. 2023.
S. Bhattacharjee, H. Twiss. Mertens's product race & the Erdős conjecture. 2023.
A. Polavarapu, H. Twiss. Analytic continuation of Dirichlet L-functions & the Mellin transform. 2023.