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.NT2026★ 1 cited

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…

math.NT2026

A Conditional Refinement of Page's Theorem on zeros of Dirichlet $L$ -functions

Debmalya Basak, Kyle Pratt

Landau--Siegel zeros are hypothetical zeros of Dirichlet $L$ -functions that are close to the point $s = 1$ . A classic theorem of Page shows at most one such zero can exist among all…

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

A Conditional Refinement of Page's Theorem on zeros of Dirichlet L-functions

A Conditional Refinement of Page's Theorem on zeros of Dirichlet $L$ -functions