16 citations · 46 across the 17 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…
A note on the mean values of the derivatives of
Andrés Chirre
Assuming the Riemann hypothesis, we obtain a formula for the mean value of the -derivative of , depending on the pair correlation of zeros of the Riemann zeta-function. Th…
Bounding the log-derivative of the zeta-function
Andrés Chirre, Felipe Gonçalves
Assuming the Riemann hypothesis we establish explicit bounds for the modulus of the log-derivative of Riemann's zeta-function in the critical strip.