Copy For Citation
Sertbas D. C.
COMPTES RENDUS MATHEMATIQUE, vol.358, no.11-12, pp.1179-1185, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
358
Issue:
11-12
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Publication Date:
2020
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Doi Number:
10.5802/crmath.137
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Journal Name:
COMPTES RENDUS MATHEMATIQUE
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aquatic Science & Fisheries Abstracts (ASFA), MathSciNet, zbMATH
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Page Numbers:
pp.1179-1185
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Çukurova University Affiliated:
No
Abstract
We show that there exist infinitely many hyperharmonic integers, and this refutes a conjecture of Mezo. In particular, for r = 64.(2(alpha)-1)+32, the hyperharmonic number h(33)((r)) is integer for 153 different values of alpha (mod 748440), where the smallest r is equal to 64.(2(2659)-1)+32.