1 citations · 3 across the 10 of their papers we have counts for
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Large values of logarithmic derivatives of quadratic Dirichlet -functions
Zikang Dong, Haidong Li
In this article, we apply the resonance method to derive conditional Omega results for logarithmic derivatives of quadratic Dirichlet -functions. We improve a previous result of…
Lower bounds for high moments of zeta sums
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we investigate high moments of zeta sums . We show unconditional lower bounds for them.
On derivatives of zeta and -functions near the 1-line
Zikang Dong, Yutong Song, Weijia Wang +1
We study the conditional upper bounds and extreme values of derivatives of the Riemann zeta function and Dirichlet -functions near the 1-line. Let be a fixed natural numb…
Large zeta sums
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we investigate the behaviour of values of zeta sums when is large. We show some asymptotic behaviour and Omega results of zeta sums, whic…
Structure of large quadratic character sums
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we study the distribution of large quadratic character sums. Based on the recent work of Lamzouri~\cite{La2022}, we obtain the structure results of quadratic chara…
Distribution of Dirichlet -functions
Zikang Dong, Weijia Wang, Hao Zhang
In this article, we study the distribution of values of Dirichlet -functions, the distribution of values of the random models for Dirichlet -functions, and the discrepancy be…
A note on the large values of
Zikang Dong, Bin Wei
We investigate the large values of the derivatives of the Riemann zeta function on the 1-line. We give a larger lower bound for ,…
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)…
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…
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…