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https://hdl.handle.net/11147/12936| Title: | Some Remarks on Harmonic Type Matrices | Authors: | Göral, Haydar | Publisher: | Colgate University | Abstract: | In 1915, Theisinger proved that all harmonic numbers are not integers except for the first one. In 1862, Wolstenholme proved that the numerator of the reduced form of the harmonic number Hp−1 is divisible by p2 and the numerator of the reduced form of the generalized harmonic number (Formula presented) is divisible by p for all primes p ≥ 5. In this note, we define harmonic type matrices and our goal is to extend Theisinger’s and Wolstenholme’s results to harmonic type matrices. © 2022, Colgate University. All rights reserved. | URI: | https://hdl.handle.net/11147/12936 | ISSN: | 1553-1732 |
| Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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| SomeHGw66.pdf | 278.32 kB | Adobe PDF | View/Open |
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