Ramanujan's Harmonic Number Expansion

Details Ramanujan's Harmonic Number Expansion Ramanujan's Harmonic Number Expansion

2005-11-14

arxiv.org/abs/math/0511335v2

Mathematics

Classical Analysis and ODEs

7 pages. Acknowledgements added. Many typos corrected. Parts of the proof rewritten

Scientific paper

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.

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