5 citations · 14 across the 5 of their papers we have counts for
5 papers
An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem
Xiaochun Li, Xuerui Yang
Using Bombieri-Iwaniec method, we establish an improvement on both Gauss's Circle Problem and Dirichlet's Divisor Problem. More precisely, we derive a new estimate for the first sp…
Extreme values of the derivative of Blaschke products and hypergeometric polynomials
Leonid V. Kovalev, Xuerui Yang
A finite Blaschke product, restricted to the unit circle, is a smooth covering map. The maximum and minimum values of the derivative of this map reflect the geometry of the Blaschk…
Near-isometric duality of Hardy norms with applications to harmonic mappings
Leonid V. Kovalev, Xuerui Yang
Hardy spaces in the complex plane and in higher dimensions have natural finite-dimensional subspaces formed by polynomials or by linear maps. We use the restriction of Hardy norms…
Algebraic structure of the range of a trigonometric polynomial
Leonid V. Kovalev, Xuerui Yang
The range of a trigonometric polynomial with complex coefficients can be interpreted as the image of the unit circle under a Laurent polynomial. We show that this range is containe…
Fourier series of circle embeddings
Leonid V. Kovalev, Xuerui Yang
We study the Fourier series of circle homeomorphisms and circle embeddings, with the emphasis on Blaschke product approximation and the vanishing of Fourier coefficients. The analy…