Berend Ringeling

activity

20202026

most citedCritical points of modular forms

3 citations · 4 across the 13 of their papers we have counts for

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math.NT2026

Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area

Jesse Allen, Olivier Beaudry-Ogden, Théophane Bouchard +4

We study pairs consisting of a rational isosceles triangle and a rational triangle having a prescribed angle $θ$ , with equal perimeter and equal area. Writing $ρ=\cos(θ)\in\mathbb{…

math.NT2026

Machine learning the arithmetic of Boyd's Mahler measure conjectures

Alberto Alfarano, Pablo Bianucci, Matilde N. Lal\'ın +1

Boyd conjectured that the Mahler measure of $P_{k} (x, y) = x + y + \frac{1}{x} + \frac{1}{y} + k$ for $k$ an integer, is given by $r_{k} L^{'} (E_{k}, 0)$ , where $E_{k}$ is the elliptic curve associated to…

math.NT2026

Relating Mahler measures and Dirichlet $L$ -values: new evidence for Chinburg's conjectures

David Hokken, Mahya Mehrabdollahei, Berend Ringeling

Let $χ_{- f}$ be the odd quadratic Dirichlet character of conductor $f$ , and let $m (P)$ denote the Mahler measure of a polynomial $P$ . In 1984, Chinburg conjectured that fo…

Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area

Machine learning the arithmetic of Boyd's Mahler measure conjectures

Relating Mahler measures and Dirichlet L-values: new evidence for Chinburg's conjectures

Relating Mahler measures and Dirichlet $L$ -values: new evidence for Chinburg's conjectures