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Ramanujan-type series for [one divided by pi] with quadratic irrationals : a thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand
(Massey University, 2012)
In 1914, Ramanujan discovered 17 series for 1= , 16 are rational and one is irrational. They are classi ed into four groups depending on a variable ` called the level, where ` = 1, 2, 3 and 4. Since then, a total of 36 ...