43 citations · 283 across the 27 of their papers we have counts for
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Hilbert spaces and low-lying zeros of L-functions
Emanuel Carneiro, Andrés Chirre, Micah B. Milinovich
Generalizing previous work of Iwaniec, Luo, and Sarnak (2000), we use information from one-level density theorems to estimate the proportion of non-vanishing of -functions in a…
On Montgomery's pair correlation conjecture: a tale of three integrals
Emanuel Carneiro, Vorrapan Chandee, Andrés Chirre +1
We study three integrals related to the celebrated pair correlation conjecture of H. L. Montgomery. The first is the integral of Montgomery's function in bounded interval…
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…