Zikang Dong

collaborators

2 papers

math.NT2026

Large values of logarithmic derivatives of quadratic Dirichlet $L$ -functions

Zikang Dong, Haidong Li

In this article, we apply the resonance method to derive conditional Omega results for logarithmic derivatives of quadratic Dirichlet $L$ -functions. We improve a previous result of…

math.NT2025

Lower bounds for high moments of zeta sums

Zikang Dong, Weijia Wang, Hao Zhang

In this article, we investigate high moments of zeta sums $\sum_{n \leq x} n^{i t}$ . We show unconditional lower bounds for them.

Large values of logarithmic derivatives of quadratic Dirichlet L-functions

Lower bounds for high moments of zeta sums

Large values of logarithmic derivatives of quadratic Dirichlet $L$ -functions