Kangbo Ouyang

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math.NT2026

Odd order cases of Chowla's averages over arbitrary rectangles

Qiang Huo, Zhengxing Lian, Kangbo Ouyang

Let $λ$ be the Liouville function. In this paper we prove an average form of Chowla Conjecture for even $k$ . that is, for every fixed even integer $k \geq 2$ , we prove that \[ \lim…

math.NT2026

Bohr obstructions to recurrence along Hardy-field sequences

Kangbo Ouyang, Saúl Rodríguez-Martín, Leiye Xu +1

We construct Bohr obstructions to multiple recurrence along rounded Hardy-field sequences, showing that the real derivative-span criterion of Bergelson, Moreira, and Richter is ess…