Hao Zhang

activity

20232026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.NT2026

Large zeta sums and zeros of the Riemann zeta function

Zikang Dong, Ruihua Wang, Weijia Wang +1

For real $t$ and $x \geq 1$ , set \[ S(x,t)=\sum_{n\le x} n^{\ii t}. \] We prove an unconditional inverse theorem relating large values of $S (x, t)$ , with $∣ t ∣$ large, to zeros of the…

math.NT2026

Large values of quadratic character sums

Zikang Dong, Ruihua Wang, Weijia Wang +2

In this paper, we investigate large values of quadratic Dirichlet character sums. We prove new Omega results for both short and long quadratic character sums under the assumption o…

math.NT2026

Extreme values of quadratic Dirichlet $L$ -functions with prime-related moduli

Zikang Dong, Weijia Wang, Hao Zhang +1

In this paper, we show a new lower bound for extreme values of quadratic Dirichlet $L$ -functions with prime-related moduli, which generalizes the work of Darbar and Maiti in 2025,…

math.NT2026

Extreme values of quadratic Dirichlet $L$ -functions

Zikang Dong, Weijia Wang, Hao Zhang +1

In this paper, we investigate extreme values of quadratic Dirichlet $L$ -functions at the central point. We provide new extreme values of $L (\frac{1}{2}, χ_{d})$ as $d$ is large, which imp…

Large zeta sums and zeros of the Riemann zeta function

Large values of quadratic character sums

Extreme values of quadratic Dirichlet L-functions with prime-related moduli

Extreme values of quadratic Dirichlet L-functions

Extreme values of quadratic Dirichlet $L$ -functions with prime-related moduli

Extreme values of quadratic Dirichlet $L$ -functions