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Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\) - MaRDI portal

Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\) (Q1041625)

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scientific article; zbMATH DE number 5641728
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English
Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\)
scientific article; zbMATH DE number 5641728

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    Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\) (English)
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    3 December 2009
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    Certain representations for Eisenstein series, identities for hypergeometric series and the values of various singular moduli are used to derive several new series representations for \(\frac{1}{\pi^2}\).
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    hypergeometic series
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    Eisenstein series
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    modular equations
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    theta functions
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