12 papers
Extreme values of quadratic Dirichlet -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 -functions with prime-related moduli, which generalizes the work of Darbar and Maiti in 2025,…
Extreme values of quadratic Dirichlet -functions
Zikang Dong, Weijia Wang, Hao Zhang +1
In this paper, we investigate extreme values of quadratic Dirichlet -functions at the central point. We provide new extreme values of as is large, which im…
Finite -multiple harmonic sums on indices
Zikang Dong, Takao Komatsu
There are many results for explicit expressions about -multiple zeta values or -harmonic sums on indices, that is, the indices are the same. Though the way to tr…
Large values of quadratic character sums revisited
Zikang Dong, Ruihua Wang, Weijia Wang +1
We study large values of quadratic character sums with summation lengths exceeding the square root of the modulus. Assuming the Generalized Riemann Hypothesis, we obtain a new Omeg…
Note on large quadratic character sums
Zikang Dong, Yutong Song, Ruihua Wang +1
In this article, we investigate the conditional large values of quadratic Dirichlet character sums. We prove an Omega result for quadratic character sums under the assumption of th…
Large quadratic character sums with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang +2
In this article, we investigate conditional large values of quadratic Dirichlet character sums with multiplicative coefficients. We prove some Omega results under the assumption of…