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math.NT2022
Mobius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold
Jing Ma, Ronghui Wu
Let be the unit circle and the 3-dimensional Heisenberg nilmanifold. We prove that the Möbius function is linearly disjoint from a class of distal skew…
math.NT2022
On a sum involving general arithmetic functions and the integral part function
Jing Ma, Ronghui Wu
Let be an arithmetic function satisfying some simple conditions. The aim of this paper is to establish an asymptotical formula for the quantity \[ S_f(x):=\sum_{n\leq x}\frac{f…