About the Non-Integer Property of Hyperharmonic Numbers

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dc.creatorMező, István
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:43Z
dc.date.available2026-07-07T10:14:43Z
dc.descriptionIt was proven in 1915 by Leopold Theisinger that the $H_n$ harmonic numbers are never integers. In 1996 Conway and Guy have defined the concept of hyperharmonic numbers. The question naturally arises: are there any integer hyperharmonic numbers? The author gives a partial answer to this question and conjectures that the answer is "no".
dc.description7 pages Accepted in Annales Univ. Sci. Budapest., Sect. Math
dc.identifierhttps://arxiv.org/abs/0811.0043
dc.identifierhttp://arxiv.org/abs/0811.0043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172974
dc.subjectNumber Theory
dc.subject11B83
dc.titleAbout the Non-Integer Property of Hyperharmonic Numbers
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