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On the denominators of harmonic numbers, II.
- Source :
-
Journal of Number Theory . Jul2019, Vol. 200, p397-406. 10p. - Publication Year :
- 2019
-
Abstract
- Abstract Text Let v n be the denominator of the n -th harmonic number H n = 1 + 2 − 1 + ⋯ + n − 1. In this paper, we prove the following unusual result: the set of positive integers n with v n = v n + 1 has density one. We also prove that the same result is true for the denominators of alternating harmonic numbers. Video For a video summary of this paper, please visit https://youtu.be/Sk0zMSKPe3M. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DENSITY
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 200
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 135428550
- Full Text :
- https://doi.org/10.1016/j.jnt.2018.11.026