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arxiv: 1603.07664 · v1 · pith:FYCECTG7new · submitted 2016-03-24 · 🧮 math.CA

A formula for the convergents of a continued fraction of Ramanujan

classification 🧮 math.CA
keywords continuedconvergentsformulafractionchapterentryramanujanfamous
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In Entry 16, Chapter 16 of his notebooks, Ramanujan himself gave a formula for the convergents of the famous Rogers-Ramanujan continued fraction. We provide a similar formula for the convergents of a more general continued fraction, namely Entry 15 of Chapter 16.

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