Ramanujan's Harmonic Number Expansion

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An algebraic transformation of the DeTemple-Wang half-integer approximation to the harmonic series produces the general formula and error estimate for the Ramanujan expansion for the nth harmonic number.
7 pages. Acknowledgements added. Many typos corrected. Parts of the proof rewritten

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Classical Analysis and ODEs, 26D5, 33B15

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http://salesiana.dossiersoluciones.com/handle/123456789/104907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511335
 http://arxiv.org/abs/math/0511335

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arXiv