A zero density result for the Riemann zeta function

Habiba Kadiri. "A zero density result for the Riemann zeta function." Acta Arithmetica 160.2 (2013): 185-200. <http://eudml.org/doc/279032>.

@article{HabibaKadiri2013,
abstract = {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.},
author = {Habiba Kadiri},
journal = {Acta Arithmetica},
keywords = {Riemann zeta function; zero density; explicit results},
language = {eng},
number = {2},
pages = {185-200},
title = {A zero density result for the Riemann zeta function},
url = {http://eudml.org/doc/279032},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Habiba Kadiri
TI - A zero density result for the Riemann zeta function
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 2
SP - 185
EP - 200
AB - 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.
LA - eng
KW - Riemann zeta function; zero density; explicit results
UR - http://eudml.org/doc/279032
ER -