On a conjecture concerning the harmonic series

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 7, 2001, Number 3, Pages 96–102
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Krassimir T. Atanassov
CLBME – Bulg. Academy of Sci., P.O.Box 12, Sofia-1113, Bulgaria

References

1. Zemyan, S. On two conjectures concerning the partial sums of the harmonic series. Proc. Amer. Math. Soc., Vol. 95, 1967, No. 1, 83-86.
2. Comtet, L. Problem 5346., Amer. Math. Monthly, Vol. 74, 1967, 209.
3. Atanassov, K., L. Asenova. Problem 142, Physics-Math. Journal of the Bulg. Acad. of Sci., Vol. 21 (54), 1978, No. 4, 308.
4. Boas, R., J. Wrench. Partial sums of the harmonic series. Amer. Math. Monthly, Vol. 78, 1971, 864-870.
5. Graham, R., D. Knuth, 0. Patashnik. Concrete Mathematics, Addison-Wesley, Reading, 1998 (Second Edition).
6. Dwight, H. Tables of Integrals and Other Mathematical Data, The McMillan Company, New York, 1961.
7. Vassilev-Missana, M. On a formula related to the n-th partial sum of the harmonic series. Notes on Number Theory and Discrete Mathematics, Vol. 6, 2000, No. 2, 64-68.
8. Atanassov, K. Notes on the harmonic series. Bull, of Number Theory and Related Topics, Vol. X (1986), No. 2, 10-20.
9. Atanassov, K. Remark on the harmonic series. Comptes Rendus de TAcademie bulgare des Sciences, Tome 40, 1987, No. 5, 25-28.