Charles Alley : The Simple Continued Fraction for $e$

Posted by Abel Castillo , part of the Graduate Number Theory Seminar.

At

Dec. 2, 2013, 3 p.m.

In

SEO 427

Abstract

In this talk I will give results from my bachelor's thesis. Specifically, I will make explicit connections between linear fractional transformations and continued fractions. Then, using the language of linear algebra, I will prove some basic results which can then be applied to derive the simple continued fraction for $e = [2,1,2,1,1,4,1,1,6,1,\cdots]$.