Ezra Waxman

collaborators

4 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.NT2025

One-level densities in families of GrÃ¶ssencharakters associated to CM elliptic curves

Chantal David, Lucile Devin, Ezra Waxman

We study the low-lying zeros of a family of $L$ -functions attached to the CM elliptic curve $E_{d} : y^{2} = x^{3} - d x$ , for each odd and square-free integer $d$ . Specifically, upon…

math.NT2025

On the number of lattice points in thin sectors

Ezra Waxman, Nadav Yesha

On the circle of radius $R$ centred at the origin, consider a ``thin'' sector about the fixed line $y = I^\pm x$ with edges given by the lines $y = (I^\pm \pm I^µ) x$ , where $Îµ= Îµ_R \righ…

math.NT2025

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family

Bernadette Faye, Ingrid Vukusic, Ezra Waxman +1

In this paper we completely solve a simple quartic family of Thue equations over $C (T)$ . Specifically, we apply the ABC-Theorem to find all solutions $(x,y) \in \mathbb{C}…

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

One-level densities in families of GrÃ¶ssencharakters associated to CM elliptic curves

On the number of lattice points in thin sectors

Thue equations over C(T): The Complete Solution of a Simple quartic family

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

Thue equations over $C (T)$ : The Complete Solution of a Simple quartic family