1 citations · 1 across the 2 of their papers we have counts for
5 papers
Representations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures
Debmalya Basak, Anji Dong, Katerina Saettone +1
On the occasion of George Andrews' and Bruce Berndt's combined 170th birthday, we prove two conjectures of Sir Frederick Pollock that are more than 170 years old. In 1843, Pollock…
A Conditional Refinement of Page's Theorem on zeros of Dirichlet -functions
Debmalya Basak, Kyle Pratt
Landau--Siegel zeros are hypothetical zeros of Dirichlet -functions that are close to the point . A classic theorem of Page shows at most one such zero can exist among all…
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 .…
Non-vanishing and One Level Density for Dirichlet -functions Along Short Averages
Debmalya Basak
Assuming the Generalized Riemann Hypothesis, it is known that at least half of the central values are non-vanishing as ranges over primitive characters mod…
Remarks on Landau-Siegel zeros
Debmalya Basak, Jesse Thorner, Alexandru Zaharescu
For certain families of -functions, we prove that if each -function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of , then one may con…