Zeros of Dedekind zeta functions under GRH

Loïc Grenié, Giuseppe Molteni

Type: Article

Publication Date: 2015-10-09

Citations: 2

DOI: https://doi.org/10.1090/mcom/3024

Abstract

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

Locations

Mathematics of Computation - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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Action	Title	Year	Authors
+	An improved upper bound for the argument of the Riemann zeta-function on the critical line II	2013	Timothy S. Trudgian
+	Some effective cases of the Brauer-Siegel Theorem	1974	H. Stärk
+ PDF Chat	An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions	2014	Timothy S. Trudgian
+	On the zeta function of number fields	1971	Serge Lang
+ PDF Chat	A note on S(<i>t</i> ) and the zeros of the Riemann zeta-function	2007	D. A. Goldston S. M. Gonek
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+	On the zeros of the Riemann zeta-function	1924	J. E. Littlewood
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+ PDF Chat	Explicit smoothed prime ideals theorems under GRH	2015	Loïc Grenié Giuseppe Molteni
+ PDF Chat	Bounding $$S(t)$$ and $$S_1(t)$$ on the Riemann hypothesis	2012	Emanuel Carneiro Vorrapan Chandee Micah B. Milinovich