3 citations · 6 across the 9 of their papers we have counts for
15 papers
SIN, COS, EXP and LOG of Liouville numbers
Taboka Chalebgwa, Sidney A. Morris
For any Liouville number , all of the following are transcendental numbers: , , , , , , , , $\arcsi…
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…
Transcendental Groups
Sidney A. Morris
In this note we introduce the notion of a transcendental group, that is, a subgroup of the topological group of all complex numbers such that every element of …
Tweaking Ramanujan's Approximation of n!
Sidney A. Morris
In 1730 James Stirling, building on the work of Abraham de Moivre, published what is known as Stirling's approximation of . He gave a good formula which is asymptotic to .…
A topological group observation on the Banach--Mazur separable quotient problem
Saak S. Gabriyelyan, Sidney A. Morris
The Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient space, has remained unsolved for 85 years, but has be…
The Separable Quotient Problem for Topological Groups
Arkady G. Leiderman, Sidney A. Morris, Mikhail G. Tkachenko
The famous Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient Banach space, has remained unsolved for 85 yea…