S. Dey

activity

20232026

collaborators

4 papers

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.AG2024

Statistics of Moduli Spaces of vector bundles over hyperelliptic curves

Arijit Dey, Sampa Dey, Anirban Mukhopadhyay

We give an asymptotic formula for the number of $F_{q}$ -rational points over a fixed determinant moduli space of stable vector bundles of rank $r$ and degree $d$ over a sm…

math.AG2023

Statistics of Moduli Space of vector bundles II

Arijit Dey, Sampa Dey, Anirban Mukhopadhyay

Let $X$ be a smooth irreducible projective curve of genus $g \geq 2$ over a finite field $\F_{q}$ of characteristic $p$ with $q$ elements such that the function field $\F_{q}(X)$ i…

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

Statistics of Moduli Spaces of vector bundles over hyperelliptic curves

Statistics of Moduli Space of vector bundles II

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