The notion of global non-equivalence of a set of multiplicative functions is introduced. The linear independence of a set of globally inequivalent multiplicative functions with respect to the ring where r is a slowly varying function is proved. Applications to families of Artin L-functions are given.
General linear independence of a class of multiplicative functions / G. Molteni. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 83:1(2004), pp. 27-40.
General linear independence of a class of multiplicative functions
G. Molteni
2004
Abstract
The notion of global non-equivalence of a set of multiplicative functions is introduced. The linear independence of a set of globally inequivalent multiplicative functions with respect to the ring where r is a slowly varying function is proved. Applications to families of Artin L-functions are given.
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