On the Legendre and the Lenstra constants for complex continued fractions introduced by J. Hurwitz
Volume 196 / 2020
Acta Arithmetica 196 (2020), 269-289
MSC: Primary 11K50; Secondary 37A44, 11J70, 30B70.
DOI: 10.4064/aa180713-14-1
Published online: 7 July 2020
Abstract
We give the explicit value of the Legendre constant associated with the continued fraction expansions for complex numbers defined by J. Hurwitz. To do this, we first give the Lenstra constant of this continued fraction and then show these two constants coincide.
