24 citations · 91 across the 21 of their papers we have counts for
4 papers · 1 filter
A framework for discrete bilinear spherical averages and applications to -improving estimates
Theresa C. Anderson, Angel V. Kumchev, Eyvindur A. Palsson
We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging o…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…
Improved -Boundedness for Integral -Spherical Maximal Functions
Theresa C. Anderson, Brian Cook, Kevin Hughes +1
We improve the range of -boundedness of the integral -spherical maximal functions introduced by Magyar. The previously best known bounds for the full -sp…
On the ergodic Waring--Goldbach problem
Theresa C. Anderson, Brian Cook, Kevin Hughes +1
We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure associated to the Waring--Goldbach problem and provide several applications, including bo…