4 papers · 1 filter
Möbius disjointness conjecture for Furstenberg's flow on in short intervals
Shuyang He, Qingyang Liu, Jing Ma
Furstenberg's flow on the infinite-dimensional torus is defined by \[ T (x_1, x_2, \ldots, x_ν, \ldots) = (x_1 + α, x_2 + h(x_1), \ldots, x_ν+ h(x_1 + (ν-2)β), \ldot…
The M öbius Disjointness Conjecture on infinite-dimensional torus
Qingyang Liu, Jing Ma, Hongbo Wang
Let be the infinite-dimensional torus, and be defined by \[ T: (x_1, x_2, \dots, x_k, \ldots) \mapsto (x_1 + α, x_2 + h(x_1), \dots…
Möbius Disjointness Conjecture for a skew product on a circle and the Heisenberg nilmanifold
Yuk-Kam Lau, Jing Ma
We establish Sarnak's conjecture on Möbius disjointness for the dynamical system of a skew product on a circle and the three-dimensional Heisenberg nilmanifold, first studied by We…
Waring-Goldbach problem for unlike powers
Zhenzhen Feng, Jing Ma
In this paper, we investigate exceptional sets in the Waring-Goldbach problem for unlike powers. For example, estimates are obtained for sufficiently large integers below a paramet…