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Zeros of Dedekind zeta functions under GRH

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Publication:2792374
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DOI10.1090/mcom/3024zbMath1333.11105arXiv1407.1375OpenAlexW2137424813MaRDI QIDQ2792374

Loïc Grenié, Giuseppe Molteni

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1375


zbMATH Keywords

Dedekind zeta-functionGeneral Riemann Hypothesis


Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)


Related Items

Explicit smoothed prime ideals theorems under GRH



Cites Work

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  • Some effective cases of the Brauer-Siegel theorem
  • Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis
  • An improved upper bound for the argument of the Riemann zeta-function on the critical line. II
  • On the zeta function of number fields
  • Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
  • Explicit smoothed prime ideals theorems under GRH
  • An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
  • Method for Predicting the Pressure Distribution on a Sphere in a Low Degree Cavitating Flow


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