On the Pythagoras number of the simplest cubic fields
Volume 208 / 2023
Acta Arithmetica 208 (2023), 325-354
MSC: Primary 11R16; Secondary 11E25, 11R80.
DOI: 10.4064/aa221003-27-6
Published online: 28 August 2023
Abstract
Let be a root of the polynomial x^3-ax^2-(a+3)x-1 where a\geq 3. We show that the Pythagoras number of the order \mathbb Z[\rho ] is equal to 6.
