Page 7: Cubic Continued Fraction | |||||||||||||||||||||
"Ramanujan's Cubic Continued Fraction (And Others)" We discuss several j-function formulas that uses some of Ramanujan's continued fractions, in particular the cubic one. In a previous paper, two of these c-fractions were connected to the symmetry groups of Platonic solids, namely the icosahedral and octahedral groups. In this paper, we propose a connection between the cubic continued fraction and the tetrahedral group. A method will also be given to find modular relations between a continued fraction's argument q and q^n using the n-tuplication formulas for the j-function, for n such that n-1 divides 24. |
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Cubeconti5.pdf | |||||||||||||||||||||
Page 8 | |||||||||||||||||||||
Page 6 | |||||||||||||||||||||
Index | |||||||||||||||||||||
This webpage was born June 21, 2005 | |||||||||||||||||||||