Debmalya Basak

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20172026

most citedRepresentations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures

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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.NT2024

Remarks on Landau-Siegel zeros

Debmalya Basak, Jesse Thorner, Alexandru Zaharescu

For certain families of $L$ -functions, we prove that if each $L$ -function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of $s = 1$ , then one may con…

Almost all primes are not needed in Ternary Goldbach

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

Remarks on Landau-Siegel zeros

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