Hao Zhang

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20232026

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2 papers · 1 filter

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…

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

Large zeta sums

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