T. Chalebgwa

activity

20182026

collaborators

6 papers

math.NT2026

Representations with k-generalized Fibonacci numbers

Taboka Prince Chalebgwa, Laszlo Szalay

We study representations of integers using $k$ -generalized Fibonacci numbers. For $k \geq 2$ , we first consider signed representations of zero with coefficients in ${- 1, 0, 1}$ and…

math.NT2022

SIN, COS, EXP and LOG of Liouville numbers

Taboka Chalebgwa, Sidney A. Morris

For any Liouville number $α$ , all of the following are transcendental numbers: $e^{α}$ , $lo g_{e} α$ , $sin α$ , $cos α$ , $tan α$ , $sinh α$ , $cosh α$ , $tanh α$ , $\arcsi…

math.GN2022

Topological Transcendental Fields

Taboka Prince Chalebgwa, Sidney A. Morris

This article initiates the study of topological transcendental fields $\FF$ which are subfields of the topological field $\CC$ of all complex numbers such that $\FF$ consists of on…

math.NT2020

On algebraic values of Weierstrass $σ$ -functions

Gareth Boxall, Taboka Chalebgwa, Gareth Jones

Suppose that $Ω$ is a lattice in the complex plane and let $σ$ be the corresponding Weierstrass $σ$ -function. Assume that the point $τ$ associated to $Ω$ in the standard fundamenta…

math.NT2019

Algebraic values of certain analytic functions defined by a canonical product

Taboka Prince Chalebgwa

We give a partial answer to a question attributed to Chris Miller on algebraic values of certain transcendental functions of order less than one. We obtain C(logH)^n bounds for the…

math.CV2018

Sendov's Conjecture: A note on a paper of Dégot

Taboka Chalebgwa

Sendov's conjecture states that if all the zeroes of a complex polynomial $P (z)$ of degree at least two lie in the unit disk, then within a unit distance of each zero lies a critic…