T. Chalebgwa

activity

20182022

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3 papers · 1 filter

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.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…

SIN, COS, EXP and LOG of Liouville numbers

On algebraic values of Weierstrass σ-functions

Algebraic values of certain analytic functions defined by a canonical product

On algebraic values of Weierstrass $σ$ -functions