The multiplicative and functional independence of Dedekind zeta functions of abelian fields
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 11-16
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
shown multiplicative independence dedekind zeta functions abelian fields equivalent their functional independence possible multiplicative dependence relations set dedekind zeta functions abelian fields
Affiliations des auteurs :
Roman Marszałek 1
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author = {Roman Marsza{\l}ek},
title = {The multiplicative and functional independence of {Dedekind} zeta functions of abelian fields},
journal = {Colloquium Mathematicum},
pages = {11--16},
publisher = {mathdoc},
volume = {103},
number = {1},
year = {2005},
doi = {10.4064/cm103-1-2},
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url = {http://geodesic.mathdoc.fr/articles/10.4064/cm103-1-2/}
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Roman Marszałek. The multiplicative and functional independence of Dedekind zeta functions of abelian fields. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 11-16. doi: 10.4064/cm103-1-2
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