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arXiv · 1909.03718

Artin L-functions to almost monomial Galois groups

Mircea Cimpoeas·Florin Nicolae
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Abstract

If $K/\mathbb Q$ is a finite Galois extension with an almost monomial Galois group and if $s_0\in\mathbb C\setminus\{1\}$ is not a common zero for any two Artin L-functions associated to distinct complex irreducible characters of the Galois group then all Artin L-functions of $K/\mathbb Q$ are holomorphic at $s_0$. We present examples and basic properties of almost monomial groups.

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Mircea Cimpoeas, Florin Nicolae. 2019-09-09. Artin L-functions to almost monomial Galois groups. https://arxiv.org/abs/1909.03718

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