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most citedThe Capitulation Problem in Certain Pure Cubic Fields

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math.NT2024

Some results about entropy and divergence in number theory

Daniel C. Mayer, Nicusor Minculete, Diana Savin +1

We obtain inequalities involving the entropy of a positive integer and the divergence of two positive integers, respectively the entropy of an ideal and the divergence of two ideal…

math.NT2024

Group theory of cyclic cubic number fields

Daniel C. Mayer, Siham Aouissi, Bill Allombert +1

Astonishing new discoveries with quartets and octets of cyclic cubic fields sharing a common conductor are presented. Four kinds of graphs describing cubic residue conditions among…