Page 4: Pi Formulas (Part 2) | ||||||||||||||||||||||||||
"On Ramanujan's Other Pi Formulas" Some of Ramanujan's formulas involve the McKay-Thompson series of class 2A. However, others use algebraic numbers known as "cubic singular moduli". And not suprisingly, they involve the McKay-Thompson series of class 3A. We provide new pi formulas using such moduli and a method to calculate them from the Dedekind eta function. |
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Pi_formulas2.html | ||||||||||||||||||||||||||
Pi_formulas2.pdf | ||||||||||||||||||||||||||
P.S. For the quadratic modular relation between certain algebraic numbers used in the formula and the j-function, see Page 6 of this website. | ||||||||||||||||||||||||||
Page 5 | ||||||||||||||||||||||||||
Page 3 | ||||||||||||||||||||||||||
Index | ||||||||||||||||||||||||||
This webpage was born May 12, 2005. | ||||||||||||||||||||||||||