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Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind Zeta Residues

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Published in 2021 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2021.10.007

Abstract: Under GRH, we establish a version of Duke’s short-sum theorem for entire Artin L-functions. This yields corresponding bounds for residues of Dedekind zeta functions. All numerical constants in this work are explicit. read more here.

Keywords: dedekind zeta; sum theorem; artin functions; duke short ... See more keywords