2 papers
math.NT2022
Class Numbers and Pell's Equation
Thomas Jaklitsch, Thomas C. Martinez, Steven J. Miller +1
Two well-studied Diophantine equations are those of Pythagorean triples and elliptic curves, for the first we have a parametrization through rational points on the unit circle, and…
math.NT2021
Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples
Thomas Jaklitsch, Thomas C. Martinez, Steven J. Miller +1
Two well-studied Diophantine equations are those of Pythagorean triples and elliptic curves; for the first, we have a parametrization through rational points on the unit circle, an…