11 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…
Spectral eigenvalue set of self-similar measures associated with product-form Hadamard triples
Xin Yang, Wei-Jie Wang
Previously, An \cite{AL01} showed that the self-similar measure generated by a product-form Hadamard triple is a spectral measure. In this paper, we study its spectral eigenva…
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…
Common Spectral Eigenvalue Spectra for Random Convolutions Generated by Hadamard Triples
Wei-Jie Wang, Xin Yang
Lu proved that the set constitutes a spectral eigenvalue set for , whe…
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…