Geodesic
A zero density result for the Riemann zeta function
Habiba Kadiri1
1 Department of Mathematics and Computer Science University of Lethbridge 4401 University Drive Lethbridge, Alberta T1K 3M4 Canada
Acta Arithmetica, Tome 160 (2013) no. 2, pp. 185-200.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove an explicit bound for $N(\sigma ,T)$, the number of zeros of the Riemann zeta function satisfying $\mathfrak {Re}\,s\ge \sigma $ and $0 \le \mathfrak {Im}\, s \le T$. This result provides a significant improvement to Rosser's bound for $N(T)$ when used for estimating prime counting functions.
DOI : 10.4064/aa160-2-6
Keywords: prove explicit bound sigma number zeros riemann zeta function satisfying mathfrak sigma mathfrak result provides significant improvement rossers bound estimating prime counting functions

Habiba Kadiri 1

1 Department of Mathematics and Computer Science University of Lethbridge 4401 University Drive Lethbridge, Alberta T1K 3M4 Canada 
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Habiba Kadiri. A zero density result for the Riemann zeta function. Acta Arithmetica, Tome 160 (2013) no. 2, pp. 185-200. doi : 10.4064/aa160-2-6. http://geodesic.mathdoc.fr/articles/10.4064/aa160-2-6/

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