5 citations · 19 across the 12 of their papers we have counts for
12 papers · 1 filter
Self-similar sets with super-exponential close cylinders
Changhao Chen
S. Baker (2019), B. Bárány and A. Käenmäki (2019) independently showed that there exist iterated function systems without exact overlaps and there are super-exponentially close cyl…
Hybrid bounds on two-parametric family Weyl sums along smooth curves
Changhao Chen, Igor E. Shparlinski
We obtain a new bound on Weyl sums with degree polynomials of the form , , with fixed and , which…
Restricted mean value theorems and metric theory of restricted Weyl sums
Changhao Chen, Igor E. Shparlinski
We study an apparently new question about the behaviour of Weyl sums on a subset with a natural measure on . For certain measure spa…
On a Hybrid Version of the Vinogradov Mean Value Theorem
Changhao Chen, Igor E. Shparlinski
Given a family of distinct nonconstant polynomials, a positive integer and a real positive parameter , we consider the me…
On uniform distribution of -orbits
Changhao Chen, Xiaohua Wang, Shengyou Wen
Let such that at least one of them is irrational. We take a random walk on the real line such that the choice of and has equal probability . We prove t…
Hausdorff dimension of the large values of Weyl sums
Changhao Chen, Igor E. Shparlinski
The authors have recently obtained a lower bound of the Hausdorff dimension of the sets of vectors with large Weyl sums, namely of vectors for which…