The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On some conjectures and results for the Riemann zeta-function and Hecke series”

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.