Writing Projects
For all of these projects, the LaTeX is made publically available on GitHub. This is primarily for two reasons:
Mathematics doesn't belong to any one person. Feel free to copy the LaTeX code and use it as you wish (just please cite me if you do).
It is much easier to make corrections to any errors or typos made on my behalf. For this reason, if you like the material and spot an issue please reach out to me.
Manuscripts
H. Twiss. Analytic number theory. Under active revision.
Expository Papers
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.