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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…
math.NT2022★ 3 cited
Counting ideals in ray classes
Sanoli Gun, Olivier Ramaré, Jyothsnaa Sivaraman
Let be a number field and an integral ideal in . A result of Tatuzawa from 1973, computes the asymptotic (with an error term)…