Non-sums of two cubes of algebraic integers
Volume 163 / 2021
Colloquium Mathematicum 163 (2021), 285-293
MSC: 11D25, 11R04.
DOI: 10.4064/cm7945-11-2019
Published online: 23 July 2020
Abstract
It is deduced from class field theory and bounds on the Carmichael function that, given a number field, there exist infinitely many rational prime numbers that cannot be written as a sum of two cubes of integers of the field.
