A. Kumchev

activity

20042023

most citedAdditive representation in short intervals, II: sums of two like powers

24 citations · 91 across the 21 of their papers we have counts for

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2 papers · 1 filter

math.NT2023

Short Interval Results For Powerfree Polynomials Over Finite Fields

Angel Kumchev, Nathan McNew, Ariana Park

Let $k \geq 2$ be an integer and $F_{q}$ be a finite field with $q$ elements. We prove several results on the distribution in short intervals of polynomials in $\mathbb F_q[x…

math.CA2023

A framework for discrete bilinear spherical averages and applications to $ℓ^{p}$ -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…

Short Interval Results For Powerfree Polynomials Over Finite Fields

A framework for discrete bilinear spherical averages and applications to ℓp-improving estimates

A framework for discrete bilinear spherical averages and applications to $ℓ^{p}$ -improving estimates