3 papers
math.NT2026
Siegel zeros and small gaps between zeros of the Riemann zeta function
Andriy Bondarenko, Winston Heap
On assuming the Riemann Hypothesis, we show that Siegel zeros imply the existence of gaps between the zeros of the Riemann zeta function less than 1/2 the normalised length. Specif…
math.NT2026
An Analogue of the Dedekind Eta Function for Hecke Groups
Debmalya Basak, Dorian Goldfeld, Winston Heap +2
Let be a fundamental discriminant of a real quadratic field. We construct an analogue of the classical Dedekind eta function for the Hecke group .…
math.NT2024
The fourth moment of the Hurwitz zeta function
Winston Heap, Anurag Sahay
We prove a sharp upper bound for the fourth moment of the Hurwitz zeta function on the critical line when the shift parameter is irrational and of irrationality exp…