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arXiv · 1611.02217

Wronskians of theta functions and series for $1/\pi$

Alex Berkovich·Heng Huat Chan·Michael J. Schlosser
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Abstract

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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Alex Berkovich, Heng Huat Chan, Michael J. Schlosser. 2016-11-07. Wronskians of theta functions and series for $1/\pi$. https://doi.org/10.1016/j.aim.2018.09.007

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