Wronskians of theta functions and series for 1/π
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🧮 math.NT
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functionsramanujanseriesanalogousapproximationsarticleassociatedbases
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In this article, we define functions analogous to Ramanujan's function $f(n)$ defined in his famous paper "Modular equations and approximations to $\pi$". We then use these new functions to study Ramanujan's series for $1/\pi$ associated with the classical, cubic and quartic bases.
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