3 papers
math.NT2026
Upper bound for the moment of shifted values of cubic -functions over function fields
Pranendu Darbar, Sampa Dey, Gopal Maiti
In this paper, we study correlations of shifted values of cubic -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 -rational points over a fixed determinant moduli space of stable vector bundles of rank and degree over a sm…
math.AG2023
Statistics of Moduli Space of vector bundles II
Arijit Dey, Sampa Dey, Anirban Mukhopadhyay
Let be a smooth irreducible projective curve of genus over a finite field $\F_{q}$ of characteristic with elements such that the function field $\F_{q}(X)$ i…