The Number of Zeros of ζ'(s)

2015/12/20 by Ge, Fan
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1512.06419

Abstract

Assuming the Riemann Hypothesis, we prove that N₁(T) = (T)/(2π)log (T)/(4πe) + O((log T)/(loglog T)), where N₁(T) is the number of zeros of ζ'(s) in the region 0

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