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. |
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Kfunction2.pdf | ||||||||||||||||||||
Page 7 | ||||||||||||||||||||
Page 5 | ||||||||||||||||||||
Index | ||||||||||||||||||||
This webpage was born May. 22, 2005 | ||||||||||||||||||||