24 citations · 91 across the 21 of their papers we have counts for
25 papers
Short Interval Results For Powerfree Polynomials Over Finite Fields
Angel Kumchev, Nathan McNew, Ariana Park
Let be an integer and be a finite field with elements. We prove several results on the distribution in short intervals of polynomials in $\mathbb F_q[x…
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…
Explicit bounds for large gaps between squarefree integers
Angel Kumchev, Wade McCormick, Nathan McNew +3
We obtain explicit forms of the current best known asymptotic upper bounds for gaps between squarefree integers. In particular we show, for any , that every interval of th…
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…
Discrete maximal operators over surfaces of higher codimension
Theresa C. Anderson, Eyvindur Ari Palsson, Angel V. Kumchev
Integration over curved manifolds with higher codimension and, separately, discrete variants of continuous operators, have been two important, yet separate themes in harmonic analy…
A hybrid of two theorems of Piatetski-Shapiro
Angel Kumchev, Zhivko Petrov
Let and be real, with . We study the solubility of the Diophantine inequality \[ \left| p_1^c + p_2^c + \dots + p_s^c - N \right| < \varepsil…