Displaying similar documents to “A note on moments of ζ ' ( 1 / 2 + i γ ) .”

A zero density result for the Riemann zeta function

Habiba Kadiri (2013)

Acta Arithmetica

Similarity:

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.