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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…
math.NT2024
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…