C. Wilson

collaborators

4 papers

math.FA2021

On the Baire class of $n$ -dimensional boundary functions

Connor Paul Wilson

We show an extention of a theorem of Kaczynski to boundary functions in n-dimensional space. Let $H$ denote the upper half-plane, and let $X$ denote its frontier, the $x$ -axis. Sup…

math.NT2020

On coefficients satisfying Chebyshev's approximation of $π (x)$

Connor Paul Wilson

We note an interesting and under-expressed fact from Chebyshev's initial bounding for the prime counting function, $π (x) := # {p \leq x : p prime},$ based upon a selecti…

math.CO2020

An improved bound on the sum-product estimate in $F_{p}$

Connor Paul Wilson

We give an improved bound on the famed sum-product estimate in a field of residue class modulo $p$ ( $F_{p}$ ) by Erdős and Szemeredi, and a non-empty set $A \subset \mathbb…

math.NT2020

Estimates of the bounds of $π (x)$ and $π ((x + 1)^{2}) - π (x^{2})$

Connor Paul Wilson

We show the following bounds on the prime counting function $π (x)$ using principles from analytic number theory, giving an estimate: $$2 \log 2 \geq \limsup_{x \rightarrow \infty}…

On the Baire class of n-dimensional boundary functions

On coefficients satisfying Chebyshev's approximation of π(x)

An improved bound on the sum-product estimate in Fp​

Estimates of the bounds of π(x) and π((x+1)2)−π(x2)

On the Baire class of $n$ -dimensional boundary functions

On coefficients satisfying Chebyshev's approximation of $π (x)$

An improved bound on the sum-product estimate in $F_{p}$

Estimates of the bounds of $π (x)$ and $π ((x + 1)^{2}) - π (x^{2})$