The multiplicative and functional independence of Dedekind zeta functions of abelian fields
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 11-16
MSC: Primary 11R42.
DOI: 10.4064/cm103-1-2
Abstract
It is shown that the multiplicative independence of Dedekind zeta functions of abelian fields is equivalent to their functional independence. We also give all the possible multiplicative dependence relations for any set of Dedekind zeta functions of abelian fields.
