3 papers
math.NT2026
Effective equidistribution of Galois orbits for mildly regular test functions
Emanuel Carneiro, Mithun Kumar Das
In this paper we provide a detailed study on effective versions of the celebrated Bilu's equidistribution theorem for Galois orbits of sequences of points of small height in the $N…
math.NT2025
Littlewood's estimates for -functions in the hyperelliptic ensemble
Emanuel Carneiro, Pranendu Darbar, Mithun Kumar Das +2
We investigate the analogues of certain classical estimates of Littlewood for the Riemann zeta-function in the context of quadratic Dirichlet -functions over function fields. In…
math.NT2025
Fourier optimization and pair correlation problems
Mithun Kumar Das, Tolibjon Ismoilov, Antonio Pedro Ramos
We introduce a generic framework to provide bounds related to the pair correlation of sequences belonging to a wide class. We consider analogues of Montgomery's form factor for zer…