2 papers
math.NT2022
Representing ideal classes of ray class groups by product of prime ideals of small size
J. -M. Deshouillers, S. Gun, O. Ramaré +1
We prove that, for every modulus , every class of the narrow ray class group of an arbitrary number field contains a produ…
math.NT2022
Euclidean ideal classes in Galois number fields of odd prime degree
V. Kumar Murty, J. Sivaraman
Weinberger in 1972, proved that the ring of integers of a number field with unit rank at least is a principal ideal domain if and only if it is a Euclidean domain, provided the…