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A Modular Proof Of Two Of Ramanujan's Formulae For 1/π
In this article, we give new proofs of two of Ramanujan’s 1/π formulae
1π=22–√992∑m=0∞(26390m+1103)(4m)!3964m(m!)4
and
1π=2842∑m=0∞(21460m+1123)(−1)m(4m)!(842–√)4m(m!)4
using the theory of modular forms. The method can also be used to prove other classical 1/π formulae.
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