We develop a measure-theoretic approach to the invariants of L-functions in the general framework of the Selberg class. In particular, we prove a 0-1 law for the admissible values of multiplicative and additive invariants; in the special case of the degree, this result supports Selberg's degree conjecture.
A measure theoretic approach to the invariants of the Selberg class
PERELLI, ALBERTO
2008-01-01
Abstract
We develop a measure-theoretic approach to the invariants of L-functions in the general framework of the Selberg class. In particular, we prove a 0-1 law for the admissible values of multiplicative and additive invariants; in the special case of the degree, this result supports Selberg's degree conjecture.
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