Explicit zero density theorems for Dedekind zeta functions

Habiba Kadiri, Nathan Ng

Type: Article

Publication Date: 2012-01-16

Citations: 27

DOI: https://doi.org/10.1016/j.jnt.2011.09.002

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Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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+ PDF Chat	An explicit upper bound for the least prime ideal in the Chebotarev density theorem	2019	Jeoung-Hwan Ahn Soun-Hi Kwon
+	An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions	2012	Timothy S. Trudgian
+ PDF Chat	Bounding the least prime ideal in the Chebotarev Density Theorem	2017	Asif Zaman
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Works Cited by This (16)

Action	Title	Year	Authors
+	Zeros of the Riemann zeta-function	1970	С. Б. Стечкин
+ PDF Chat	The analytic theory of algebraic numbers	1975	H. Stärk
+ PDF Chat	Explicit estimates for the error term in the prime number theorem for arithmetic progressions	1984	Kevin S. McCurley
+ PDF Chat	On the Deuring-Heilbronn phenomenon, II	1977	Yoichi Motohashi
+ PDF Chat	The smallest prime that does not split completely in a number field	2012	Xiannan Li
+	Asymptotics and Special Functions	1997	F. W. J. Olver
+ PDF Chat	EXPLICIT ZERO-FREE REGIONS FOR DEDEKIND ZETA FUNCTIONS	2011	Habiba Kadiri
+	Explicit zero-free regions for Dirichlet L-functions	1984	Kevin S. McCurley
+ PDF Chat	Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression	1992	D. R. Heath‐Brown
+ PDF Chat	A bound for the least prime ideal in the Chebotarev Density Theorem	1979	Jeffrey C. Lagarias Hugh L. Montgomery Andrew Odlyzko