S. Dey

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20232026

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math.NT2026

Upper bound for the moment of shifted values of cubic $L$ -functions over function fields

Pranendu Darbar, Sampa Dey, Gopal Maiti

In this paper, we study correlations of shifted values of cubic $L$ -functions over function fields and derive an upper bound for moments of these shifted values in the limit where…

math.NT2023

An induction principle for the Bombieri-Vinogradov theorem over $F_{q} [t]$ and a variant of the Titchmarsh divisor problem

Sampa Dey, Aditi Savalia

Let $F_{q} [t]$ be the polynomial ring over the finite field $F_{q}$ . For arithmetic functions $ψ_{1}, ψ_{2} : F_{q} [t] \to C$ , we establish t…

Upper bound for the moment of shifted values of cubic L-functions over function fields

An induction principle for the Bombieri-Vinogradov theorem over Fq​[t] and a variant of the Titchmarsh divisor problem

Upper bound for the moment of shifted values of cubic $L$ -functions over function fields

An induction principle for the Bombieri-Vinogradov theorem over $F_{q} [t]$ and a variant of the Titchmarsh divisor problem