F. Ge

activity

20092023

most citedSome multidimensional integrals in number theory and connections with the Painlevé V equation

9 citations · 19 across the 14 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NT2022★ 1 cited

On the logarithmic derivative of characteristic polynomials for random unitary matrices

Fan Ge

Let $U \in U (N)$ be a random unitary matrix of size $N$ , distributed with respect to the Haar measure on $U (N)$ . Let $P (z) = P_{U} (z)$ be the characteristic polynomial of $U$ . We prove…

math.NT2022

Mean values of the logarithmic derivative of the Riemann zeta-function near the critical line

Fan Ge

Assume the Riemann Hypothesis and a hypothesis on small gaps between zeta zeros, we prove a conjecture of Bailey, Bettin, Blower, Conrey, Prokhorov, Rubinstein and Snaith, which st…