On the continued fraction frac{1 |}{| z } +frac{1 |}{| 1 } + frac{2 |}{| z } +frac{3 |}{| 1 } + frac{4 |}{| z} + cdots |
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Authors: | Harald Riede |
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Affiliation: | 1. Mathematisches Institut der Universit?t Koblenz-Landau, Campus Koblenz, Universit?tsstr. 1, 56070, Koblenz, Germany
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Abstract: | The article on hand deals with the continued fraction $$frac{1 |}{| z } +frac{1 |}{| 1 } + frac{2 |}{| z } +frac{3 |}{| 1 } + frac{4 |}{| z} + cdots.$$ The famous Indian mathematician Srinivasa Ramanujan has given a pre-presentation by a power series, but he however concealed a proof. Subsequently a proof has been established, but a direct verification is intricate. Here we give a quick and direct approach with comparitively little effort. |
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