Zander Kelley

activity

20152025

most citedRoots of Sparse Polynomials over a Finite Field

10 citations · 13 across the 7 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2023

Strong Bounds for 3-Progressions

Zander Kelley, Raghu Meka

We show that for some constant $β > 0$ , any subset $A$ of integers ${1, \dots, N}$ of size at least $2^{- O ((l o g N)^{β})} \cdot N$ contains a non-trivial three-term arithmetic progre…

math.NT2016★ 10 cited

Roots of Sparse Polynomials over a Finite Field

Zander Kelley

For a $t$ -nomial $f (x) = \sum_{i = 1}^{t} c_{i} x^{a_{i}} \in F_{q} [x]$ , we show that the number of distinct, nonzero roots of $f$ is bounded above by $2 (q-1)^{1-\varepsilon} C^\…

math.NT2015

Estimating the Number Of Roots of Trinomials over Finite Fields

Zander Kelley, Sean Owen

We show that univariate trinomials $x^{n} + a x^{s} + b \in F_{q} [x]$ can have at most $δ ⌊ \frac{1}{2} + \frac{q - 1}{δ} ⌋$ distinct roots in $F_{q}$ …