Debmalya Basak

activity

20172025

collaborators

4 papers

math.NT2025

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$

Debmalya Basak, Dorian Goldfeld, Winston Heap +2

Let $D \equiv 1 mod 4$ be a fundamental discriminant of a real quadratic field. We construct an analogue of the classical Dedekind eta function for the Hecke group $H (D)$ .…

math.NT2024

Almost all primes are not needed in Ternary Goldbach

Debmalya Basak, Raghavendra N. Bhat, Anji Dong +1

The ternary Goldbach conjecture states that every odd number $m ⩾ 7$ can be written as the sum of three primes. We construct a set of primes $P$ defined by an expa…

math.NT2024

Non-vanishing and One Level Density for Dirichlet $L$ -functions Along Short Averages

Debmalya Basak

Assuming the Generalized Riemann Hypothesis, it is known that at least half of the central values $L (\frac{1}{2}, χ)$ are non-vanishing as $χ$ ranges over primitive characters modul…

math.NT2017

The asymptotic properties of $ϕ (n)$ and a problem related to visibility of Lattice points

Debmalya Basak

We look at the average sum of the Euler's phi function $ϕ (n)$ and it's relation with the visibility of a point from the origin.We show that $\forall{\hspace{0.05in}{k} \ge{1}},k\…

An Analogue of the Dedekind Eta Function for Hecke Groups H(D​)

Almost all primes are not needed in Ternary Goldbach

Non-vanishing and One Level Density for Dirichlet L-functions Along Short Averages

The asymptotic properties of ϕ(n) and a problem related to visibility of Lattice points

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$

Non-vanishing and One Level Density for Dirichlet $L$ -functions Along Short Averages

The asymptotic properties of $ϕ (n)$ and a problem related to visibility of Lattice points