A limit theorem for the Riemann zeta-function in the complex space
A. Laurinčikas (1990)
Acta Arithmetica
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A. Laurinčikas (1990)
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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.
Jeffrey C. Lagarias (2005)
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