Zhiyong Zheng

activity

20132025

most citedSimultaneous Diophantine Approximation in Function Fields

4 citations · 11 across the 10 of their papers we have counts for

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math.NT2025

The first moment of primitive quartic $L$-functions with a secondary term

Ziwei Hong, Zhiyong Zheng

Let $q \equiv 3 (mod 4)$ be a fixed odd prime power. We study the first moment of central values of primitive quartic Dirichlet $L$ -functions over $\F_q[T]$, with fixed genus $g$ and w…

math.NT2025

The second moment of Ramanujan sums

Hong Ziwei, Zheng Zhiyong

In this paper, we study $C (x, y)$ , the second moment of Ramanujan sums. Assuming the Riemann Hypothesis(RH), we establish an asymptotic formula for $C (x, y)$ with improved error te…

The first moment of primitive quartic \(L\)-functions with a secondary term

The second moment of Ramanujan sums