Artin L-functions of small conductor

John W. Jones; David P. Roberts

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arXiv · 1610.01228

Artin L-functions of small conductor

John W. Jones·David P. Roberts

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Abstract

We study the problem of finding the Artin L-functions with the smallest conductor for a given Galois type. We adapt standard analytic techniques to our novel situation of fixed Galois type and get much improved lower bounds on the smallest conductor. For small Galois types we use complete tables of number fields to determine the actual smallest conductor.

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John W. Jones, David P. Roberts. 2016-10-04. Artin L-functions of small conductor. https://arxiv.org/abs/1610.01228

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