David S. Dummit

Signature Ranks of Units in Cyclotomic Extensions of Abelian Number\n Fields

2018 · arXiv (Cornell University)

We prove the rank of the group of signatures of the circular units (hence\nalso the full group of units) of ${\\mathbb Q}( \\zeta_m)^+$ tends to infinity\nwith $m$. We also show the signature rank of the …