A zero density result for the Riemann zeta function
Habiba Kadiri
Acta Arithmetica, Tome 161 (2013), p. 185-200 / Harvested from The Polish Digital Mathematics Library
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We prove an explicit bound for N(σ,T), the number of zeros of the Riemann zeta function satisfying ℜ𝔢 s ≥ σ and 0 ≤ ℑ𝔪 s ≤ T. This result provides a significant improvement to Rosser's bound for N(T) when used for estimating prime counting functions.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279032 
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     title = {A zero density result for the Riemann zeta function},
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     language = {en},
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Habiba Kadiri. A zero density result for the Riemann zeta function. Acta Arithmetica, Tome 161 (2013) pp. 185-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-2-6/