Volume 24, 2018, Number 3

Volume 24Number 1Number 2 ▷ Number 3


On a class of quartic Diophantine equations of at least five variables
Original research paper. Pages 1—9
Hamid Reza Abdolmalki and Farzali Izadi
Full paper (PDF, 179 Kb) | Abstract

On negative Pell equations: Solvability and unsolvability in integers
Original research paper. Pages 10—26
Hsin-Te Chiang, Mei-Ru Ciou, Chia-Ling Tsai, Yuh-JennWu and Chiun-Chang Lee
Full paper (PDF, 248 Kb) | Abstract

Some new families of positive-rank elliptic curves arising from Pythagorean triples
Original research paper. Pages 27—36
Mehdi Baghalaghdam and Farzali Izadi
Full paper (PDF, 193 Kb) | Abstract

On the derivatives of bivariate Fibonacci polynomials
Original research paper. Pages 37—46
Tuba Çakmak and Erdal Karaduman
Full paper (PDF, 169 Kb) | Abstract

2-Fibonacci polynomials in the family of Fibonacci numbers
Original research paper. Pages 47—55
Engin Özkan, Merve Taştan and Ali Aydoğdu
Full paper (PDF, 206 Kb) | Abstract

On products of quartic polynomials over consecutive indices which are perfect squares
Original research paper. Pages 56—61
Kantaphon Kuhapatanakul, Natnicha Meeboomak and Kanyarat Thongsing
Full paper (PDF, 146 Kb) | Abstract

Conditions equivalent to the Descartes–Frenicle–Sorli Conjecture on odd perfect numbers – Part II
Original research paper. Pages 62—67
Jose Arnaldo Bebita Dris and Doli-Jane Uvales Tejada
Full paper (PDF, 156 Kb) | Abstract

The arithmetic derivative and Leibniz-additive functions
Original research paper. Pages 68—76
Pentti Haukkanen, Jorma K. Merikoski and Timo Tossavainen
Full paper (PDF, 162 Kb) | Abstract

Prime sequences
Original research paper. Pages 77—83
J. V. Leyendekkers and A. G. Shannon
Full paper (PDF, 87 Kb) | Abstract

One more disproof for the Legendre’s conjecture regarding the prime counting function 𝜋(𝑥)
Original research paper. Pages 84—91
Reza Farhadian and Rafael Jakimczuk
Full paper (PDF, 187 Kb) | Abstract

An inequality involving a ratio of zeta functions
Original research paper. Pages 92—94
József Sándor
Full paper (PDF, 136 Kb) | Abstract

On repdigits as product of consecutive Lucas numbers
Original research paper. Pages 95—102
Nurettin Irmak and Alain Togbé
Full paper (PDF, 158 Kb) | Abstract

Generalized golden ratios and associated Pell sequences
Original research paper. Pages 103—110
A. G. Shannon and J. V. Leyendekkers
Full paper (PDF, 105 Kb) | Abstract

On two new combined 3-Fibonacci sequences. Part 2
Original research paper. Pages 111—114
Krassimir T. Atanassov
Full paper (PDF, 134 Kb) | Abstract

Enumeration of 3- and 4-Wilf classes of four 4-letter patterns
Original research paper. Pages 115—130
David Callan and Toufik Mansour
Full paper (PDF, 221 Kb) | Abstract

Embedding of signed regular graphs
Original research paper. Pages 131—141
Deepa Sinha and Anita Kumari Rao
Full paper (PDF, 211 Kb) | Abstract

Roman and inverse Roman domination in graphs
Original research paper. Pages 142—150
Zulfiqar Zaman, M. Kamal Kumar and Saad Salman Ahmad
Full paper (PDF, 229 Kb) | Abstract


This issue of the International Journal “Notes on Number Theory and Discrete Mathematics” is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. DNP-06-38/2017.


Volume 24Number 1Number 2 ▷ Number 3

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