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math.NT2021
Negative moments of -functions with small shifts over function fields
Alexandra Florea
We consider negative moments of quadratic Dirichlet --functions over function fields. Summing over monic square-free polynomials of degree in , we obtain…
math.NT2021★ 1 cited
The Ratios Conjecture and upper bounds for negative moments of -functions over function fields
Hung M. Bui, Alexandra Florea, Jonathan P. Keating
We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet --functions over function fields. More specifically, we study the average of $L(1/2+α,χ_D)/…
math.CA2021★ 12 cited
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…