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math.NT2019★ 11 cited
Lower Order Terms for the One-Level Density of a Symplectic Family of Hecke L-Functions
Ezra Waxman
In this paper we apply the -function Ratios Conjecture to compute the one-level density for a symplectic family of -functions attached to Hecke characters of infinite order.…
math.NT2019★ 2 cited
A Refined Conjecture for the Variance of Gaussian Primes Across Sectors
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +6
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifur…