Page 6: Continued Fractions and Platonic Solids
"The k-function: Continued Fractions and Platonic Solids (Part II)"

We continue our objective of generalizing Ramanujan's eta-quotients for other orders
p.  Part I focused on prime p = 2, 3, 5, 7, 13.  For Part II, it will be for the square orders p = 4, 9, 25.

Six other formulas for the
j-function using eta-quotients will be given.  Discussed along the way will be a fascinating connection to Ramanujan's continued fractions and, of all things, the Platonic solids.

We will also discuss pi formulas and the
quadratic modular relations involving the McKay-Thompson series of class pA for Monster which explains those formulas and certain approximations.
Kfunction2.pdf
Page 7
Page 5
Index
This webpage was born May. 22, 2005