9 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…
Quaternionic Mahler measure
Weijia Wang, Hao Zhang
We introduce the quaternionic Mahler measure for non-commutative polynomials, extending the classical complex Mahler measure. We establish the existence of quaternionic Mahler meas…
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…
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…
Large values of Dirichlet polynomials with multiplicative coefficients
Zikang Dong, Yutong Song, Weijia Wang +2
In this paper, we investigate large values of Dirichlet polynomials with multiplicative coefficients , where for large . We prove an impro…