Zikang Dong

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20212026

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1 citations · 3 across the 10 of their papers we have counts for

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math.NT2023

On derivatives of zeta and $L$ -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 $L$ -functions near the 1-line. Let $ℓ$ be a fixed natural numb…

math.NT2023

Large zeta sums

Zikang Dong, Weijia Wang, Hao Zhang

In this article, we investigate the behaviour of values of zeta sums $\sum_{n \leq x} n^{i t}$ when $t$ is large. We show some asymptotic behaviour and Omega results of zeta sums, whic…

math.NT2023

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…

On derivatives of zeta and L-functions near the 1-line

Large zeta sums

Structure of large quadratic character sums

On derivatives of zeta and $L$ -functions near the 1-line