Search Results for: 11D09

Recurrence relation analysis of Pythagorean triple patterns

J. M. Rybak, J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132 Volume 1, 1995, Number 1, Pages 1–10 Full paper (PDF, 5.5 Mb Details Authors and affiliations J. M. Rybak The … Continue reading →

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Direct parametrization of Pythagorean triples

Sungkon Chang Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 3, Pages 21–35 DOI: 10.7546/nntdm.2019.25.3.21-35 Full paper (PDF, 240 Kb) Details Authors and affiliations Sungkon Chang Department of Mathematics, Georgia Southern … Continue reading →

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The linear combination of two triangular numbers is a perfect square

Junyao Peng Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 3, Pages 1–12 DOI: 10.7546/nntdm.2019.25.3.1-12 Full paper (PDF, 187 Kb) Details Authors and affiliations Junyao Peng  Chongqing Fuling No.15 Middle School … Continue reading →

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On ternary biquadratic Diophantine equation
11(x2 – y2) + 3(x + y ) =10z4

S. Vidhyalakshmi, M. A. Gopalan, S. A. Thangam and Ö. Özer Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 3, Pages 65-71 DOI: 10.7546/nntdm.2019.25.3.65-71 Full paper (PDF, 91 Kb) Details Authors … Continue reading →

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11(x2 – y2) + 3(x + y ) =10z4

New methods for obtaining new families of congruent numbers

Hamid Reza Abdolmalki and Farzali Izadi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 14–24 DOI: 10.7546/nntdm.2019.25.1.14-24 Full paper (PDF, 191 Kb) Details Authors and affiliations Hamid Reza Abdolmalki … Continue reading →

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Simple applications of continued fractions and an elementary result on Heron’s algorithm

Antonino Leonardis Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 59–69 DOI: 10.7546/nntdm.2018.24.4.59-69 Full paper (PDF, 904 Kb) Details Authors and affiliations Antonino Leonardis Department of Mathematics and Computer … Continue reading →

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On products of quartic polynomials over consecutive indices which are perfect squares

Kantaphon Kuhapatanakul, Natnicha Meeboomak and Kanyarat Thongsing Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 56–61 DOI: 10.7546/nntdm.2018.24.3.56-61 Full paper (PDF, 146 Kb) Details Authors and affiliations Kantaphon Kuhapatanakul … Continue reading →

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On the extensibility of the D(4)-triple {k - 2, k +2, 4k} over Gaussian integers

Abdelmejid Bayad, Appolinaire Dossavi-Yovo, Alan Filipin, and Alain Togbé Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 23, 2017, Number 3, Pages 1–26 Full paper (PDF, 246Kb Details Authors and affiliations Abdelmejid Bayad Departement de mathématiques, Université d’Evry … Continue reading →

The extension of some D(4)-pairs

Alan Filipin Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 2, Pages 126–135 Full paper (PDF, 189 Kb) Details Authors and affiliations Alan Filipin Faculty of Civil Engineering, University of Zagreb … Continue reading →

A Fibonacci integral lattice approach to Pythagoras’ Theorem

Anthony G. Shannon and John N. Crothers Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 1, Pages 88–90 Full paper (PDF, 55 Kb) Details Authors and affiliations Anthony G. Shannon Warrane … Continue reading →