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math.NT2021★ 1 cited
On Large Values of
Zikang Dong, Bin Wei
We investigate the extreme values of the Riemann zeta function . On the 1-line, we obtain a lower bound evaluation $$\max_{t\in[1,T]}|ζ(1+ıt)|\ge {\rm e}^γ(\log_2T+\log_3T+c)…
math.NT2021
On the distribution of large values of
Zikang Dong
In this article, we study the distribution of large values of the Riemann zeta function on the 1-line. We obtain an improved density function concerning large values, holding in th…
math.NT2021
On the Distribution of large values of
Zikang Dong
We investigate the distribution of large values of the Riemann zeta function in the strip $1/2<\re s<1$. For any fixed $\re s=σ\in(1/2,1)$, we obtain an improved distributio…