6 papers · 1 filter
Large zeta sums and zeros of the Riemann zeta function
Zikang Dong, Ruihua Wang, Weijia Wang +1
For real and , set \[ S(x,t)=\sum_{n\le x} n^{\ii t}. \] We prove an unconditional inverse theorem relating large values of , with large, to zeros of the…
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…
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 imp…
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 eigenval…
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 , wher…