Zeros of Dedekind zeta functions under GRH

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Oct 2015Embargo end date: 01 Jul 2014 Italy English Publisher:American Mathematical Society (AMS)Journal:Mathematics of Computation, volume 85, pages 1,503-1,522 (issn: 0025-5718, eissn: 1088-6842,

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Authors: GRENIE, Loic Andre Henri; Molteni, Giuseppe;

doi: 10.1090/mcom/3024 , 10.48550/arxiv.1407.1375

arXiv: 1407.1375

handle: 2434/448107 , 10446/58014

Zeros of Dedekind zeta functions under GRH

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Abstract

Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in [ T − a , T + a ] [T-a,T+a] . We also prove a bound for the multiplicity of the zeros.

Country

Italy

Related Organizations

University of Bergamo
Italy
University of Milan
Italy

Keywords

Mathematics - Number Theory, Dedekind zeta-function, General Riemann Hypothesis, FOS: Mathematics, Zeta functions and \(L\)-functions of number fields, Number Theory (math.NT), Algebra and Number Theory; Applied Mathematics; Computational Mathematics

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