2 papers
math.NT2026
Odd order cases of Chowla's averages over arbitrary rectangles
Qiang Huo, Zhengxing Lian, Kangbo Ouyang
Let be the Liouville function. In this paper we prove an average form of Chowla Conjecture for even . that is, for every fixed even integer , we prove that \[ \lim…
math.CA2025
Assouad type spectra for some self-affine sponges
Qiang Huo
In this paper we compute the Assouad and lower spectra of Bedford--McMullen sponges in explicitly. According to the formulae established, we discover that the spectr…