Abstract.
Let F (s) be a function belonging to the Selberg class. For a primitive Dirichlet character χ, we can define the χ-twist Fχ(s) of F (s). If Fχ(s) also belongs to the Selberg class and satisfies some other conditions then there is a relation between the zeros of F (s) and the zeros Fχ(s). Further we give an operator theoretic interpretation of this relation according to A. Connes’ study.
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Received: 5 January 2004
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Suzuki, M. A relation between the zeros of an L-function belonging to the Selberg class and the zeros of an associated L-function twisted by a Dirichlet character. Arch. Math. 83, 514–527 (2004). https://doi.org/10.1007/s00013-004-1033-z
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DOI: https://doi.org/10.1007/s00013-004-1033-z