Graduate Number Theory Seminar
Charles Alley
The Rogers-Ramanujan Continued Fraction: An Interesting Individual
Abstract: C.L. Siegel said, "The mathematical universe is inhabited not
only by important species but also by interesting individuals." In this
talk I will discuss the Rogers-Ramanujan continued fraction, $r(t) =
q^{1/5}/1+q/1+q^2/1+q^3/1+... $ where $q=e^{2\pi i t}$. This classical
function has many interesting properties, which I will discuss. I will
present results from the survey paper by W. Duke, "Continued Fractions and
Modular Functions", which can be found here: http://www.math.ucla.edu/~wdduke/preprints/bams4.pdf
Wednesday February 18, 2015 at 3:00 PM in SEO 512