Ezra Waxman

collaborators

3 papers

math.NT2026

Average analytic rank for the $L$ -functions of the elliptic curves $y^{2} = x^{3} - d x$

Chantal David, Lucile Devin, Alessandro Fazzari +1

We study the average analytic rank in the family of $L$ -functions $L (s, E_{d})$ associated with the elliptic curves $E_{d} : y^{2} = x^{3} - d x$ , as $d$ varies over fourth-power-free odd integ…

math.NT2019

Lower Order Terms for the One-Level Density of a Symplectic Family of Hecke L-Functions

Ezra Waxman

In this paper we apply the $L$ -function Ratios Conjecture to compute the one-level density for a symplectic family of $L$ -functions attached to Hecke characters of infinite order.…

math.NT2019

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…

Average analytic rank for the L-functions of the elliptic curves y2=x3−dx

Lower Order Terms for the One-Level Density of a Symplectic Family of Hecke L-Functions

A Refined Conjecture for the Variance of Gaussian Primes Across Sectors

Average analytic rank for the $L$ -functions of the elliptic curves $y^{2} = x^{3} - d x$