Tianping Zhang

collaborators

2 papers

math.NT2025

A new result on the divisor problem in arithmetic progressions modulo a prime power

Mingxuan Zhong, Tianping Zhang

We derive an asymptotic formula for the divisor function $τ (k)$ in an arithmetic progression $k \equiv a (mod q)$ , uniformly for $q \leq X^{Δ_{n, l}}$ with $(q, a) = 1$ . The parameter…

math.NT2024

Sign changes of Kloosterman sums with moduli having at most six prime factors

Tianping Zhang, Mingxuan Zhong

We prove that the Kloosterman sum $Kl (1, q)$ changes sign infinitely many times, as $q \to + \infty$ with at most six prime factors. As a consequence, our result improv…