The multiplicative and functional independence of Dedekind zeta functions of abelian fields

Roman Marszałek. "The multiplicative and functional independence of Dedekind zeta functions of abelian fields." Colloquium Mathematicae 103.1 (2005): 11-16. <http://eudml.org/doc/283903>.

@article{RomanMarszałek2005,
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.},
author = {Roman Marszałek},
journal = {Colloquium Mathematicae},
keywords = {Zeta functions and -functions of number fields; Dirichlet’s -functions; functional independence},
language = {eng},
number = {1},
pages = {11-16},
title = {The multiplicative and functional independence of Dedekind zeta functions of abelian fields},
url = {http://eudml.org/doc/283903},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Roman Marszałek
TI - The multiplicative and functional independence of Dedekind zeta functions of abelian fields
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 11
EP - 16
AB - 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.
LA - eng
KW - Zeta functions and -functions of number fields; Dirichlet’s -functions; functional independence
UR - http://eudml.org/doc/283903
ER -