Search Results for: 11A25

Revisiting some old results on odd perfect numbers

Jose Arnaldo Bebita Dris and Doli-Jane Uvales Tejada Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 18—25 DOI: 10.7546/nntdm.2018.24.4.18-25 Download full paper: PDF, 177 Kb Details Authors and affiliations … Continue reading

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An identical equation for arithmetic functions of several variables and applications

Vichian Laohakosol and Pinthira Tangsupphathawat Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 11—17 DOI: 10.7546/nntdm.2018.24.4.11-17 Download full paper: PDF, 180 Kb Details Authors and affiliations Vichian Laohakosol Department … Continue reading

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On a new arithmetic function

Krassimir T. Atanassov and József Sándor Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 3—10 DOI: 10.7546/nntdm.2018.24.4.3-10 Download full paper: PDF, 142 Kb Details Authors and affiliations Krassimir T. … Continue reading

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On the Hadamard product of GCD and LCM matrices associated with semi-multiplicative functions

Ayse Nalli and Pentti Haukkanen Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 9, 2003, Number 4, Pages 90—98 Download full paper: PDF, 77 Kb Details Authors and affiliations Ayse Nalli Department of Mathematics, Faculty of Science and … Continue reading

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Iterated Dirichlet series and the inverse of Ramanujan’s sum

Kenneth R. Johnson Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 9, 2003, Number 3, Pages 65—72 Download full paper: PDF, 2246 Kb Details Authors and affiliations Kenneth R. Johnson North Dakota State University Fargo, ND Abstract The … Continue reading

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Relationship between a natural number and its digital product

Laurențiu Panaitopol Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 10, 2004, Number 3, Pages 68—71 Download full paper: PDF, 134 Kb Details Authors and affiliations Laurențiu Panaitopol University of Bucharest, Faculty of Mathematics 14 Academiei St., RO–010014 … Continue reading

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The arithmetic derivative and Leibniz-additive functions

Pentti Haukkanen, Jorma K. Merikoski and Timo Tossavainen Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 68—76 DOI: 10.7546/nntdm.2018.24.3.68-76 Download full paper: PDF, 162 Kb Details Authors and affiliations … Continue reading

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Conditions equivalent to the Descartes–Frenicle–Sorli Conjecture on odd perfect numbers – Part II

Jose Arnaldo Bebita Dris and Doli-Jane Uvales Tejada Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 62—67 DOI: 10.7546/nntdm.2018.24.3.62-67 Download full paper: PDF, 156 Kb Details Authors and affiliations … Continue reading

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One more disproof for the Legendre’s conjecture regarding the prime counting function 𝜋(𝑥)

Reza Farhadian and Rafael Jakimczuk Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 84—91 DOI: 10.7546/nntdm.2018.24.3.84-91 Download full paper: PDF, 187 Kb Details Authors and affiliations Reza Farhadian Department … Continue reading

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An inequality involving a ratio of zeta functions

József Sándor Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 92—94 DOI: 10.7546/nntdm.2018.24.3.92-94 Download full paper: PDF, 133 Kb Details Authors and affiliations József Sándor Department of Mathematics, Babeș-Bolyai … Continue reading

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