On holomorphic Artin L-functions
نویسندگان
چکیده
منابع مشابه
On Holomorphic Artin L-functions
Let K/Q be a finite Galois extension, s0 ∈ C \ {1}, Hol(s0) the semigroup of Artin L-functions holomorphic at s0. We present criteria for Artin’s holomorphy conjecture in terms of the semigroup Hol(s0). We conjecture that Artin’s L-functions are holomorphic at s0 if and only if Hol(s0) is factorial. We prove this if s0 is a zero of an L-function associated to a linear character of the Galois gr...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2017
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-017-1120-4