We prove the linear independence of the members of a large class of L-functions defined axiomatically. Such a class, more general than the Selberg class, contains in particular the Artin and the automophic L-functions as well as their reciprocal and derivatives. Thus these results supersede all previous results on linear independence of L-functions. The main step in the proof is the multiplicity one property.
Linear independence of L-functions
PERELLI, ALBERTO
2006-01-01
Abstract
We prove the linear independence of the members of a large class of L-functions defined axiomatically. Such a class, more general than the Selberg class, contains in particular the Artin and the automophic L-functions as well as their reciprocal and derivatives. Thus these results supersede all previous results on linear independence of L-functions. The main step in the proof is the multiplicity one property.
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