F. Ge

activity

20092023

most citedSome multidimensional integrals in number theory and connections with the Painlevé V equation

9 citations · 19 across the 14 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NT2015

The Number of Zeros of $ζ^{'} (s)$

Fan Ge

Assuming the Riemann Hypothesis, we prove that $N_{1} (T) = \frac{T}{2 π} lo g \frac{T}{4 π e} + O (\frac{lo g T}{lo g lo g T}),$ where $N_{1} (T)$ is the number of zeros of $ζ'(…

math.NT2015

The distribution of zeros of $ζ^{'} (s)$ and gaps between zeros of $ζ (s)$

Fan Ge

Assume the Riemann Hypothesis, and let $γ^{+} > γ > 0$ be ordinates of two consecutive zeros of $ζ (s)$ . It is shown that if $γ^{+} - γ < v / lo g γ$ with $v < c$ for some absolute positive const…

The Number of Zeros of ζ′(s)

The distribution of zeros of ζ′(s) and gaps between zeros of ζ(s)

The Number of Zeros of $ζ^{'} (s)$

The distribution of zeros of $ζ^{'} (s)$ and gaps between zeros of $ζ (s)$