S. Morris

activity

20152022

collaborators

Showing math.NTShow all

2 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

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 $n!$ . He gave a good formula which is asymptotic to $n!$ .…