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

DOI10.1016/J.JNT.2021.10.007arXiv2101.11853WikidataQ113870332 ScholiaQ113870332MaRDI QIDQ6359248

Ethan Simpson Lee, Stephan Ramon Garcia

Publication date: 28 January 2021

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.

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

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