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math.NT2021
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…
math.NT2021★ 6 cited
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…