collaborators

4 papers

math.NT2026

On the digits of the sum of proper divisors

Kübra Benli, Cécile Dartyge, Charlotte Dombrowsky +2

We study several probabilistic questions concerning the digits of , the sum of proper divisors of an integer . In particular, we show that obeys Benford's law with…

math.NT2026

Central Values of -Functions of Twisted Modular Forms and Local Polynomials

Charlotte Dombrowsky

In this paper we study the product of two central values of -functions of a twisted modular. We show that it suffices to compute a local polynomial at a finite number of points…

math.NT2025

On the Elliptic Curve over Quadratic Extensions

Charlotte Dombrowsky

We study the rank of the modular curve over quadratic extensions. Assuming the Birch and Swinnerton-Dyer Conjecture, we show that the rank over is…

math.NT2025

Experimental investigations on Lehmer's conjecture for elliptic curves

Sven Cats, John Michael Clark, Charlotte Dombrowsky +3

In this short note, we give a method for computing a non-torsion point of smallest canonical height on a given elliptic curve over all number fields of a fixed degre…