Search Results for: 11D09

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 Download full paper: PDF, 191 Kb Details Authors and affiliations Hamid Reza … 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 Download full paper: PDF, 904 Kb Details Authors and affiliations Antonino Leonardis Department of Mathematics and … 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 Download full paper: PDF, 146 Kb Details Authors and affiliations Kantaphon … 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 Download full paper: PDF, 246Kb Details Authors and affiliations Abdelmejid Bayad Departement de mathématiques, Université … 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 Download full paper: PDF, 189 Kb Details Authors and affiliations Alan Filipin Faculty of Civil Engineering, University of … 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 Download full paper: PDF, 55 Kb Details Authors and affiliations Anthony G. Shannon … Continue reading

Congruent numbers via the Pell equation and its analogous counterpart

Farzali Izadi Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 21, 2015, Number 1, Pages 70—78 Download full paper: PDF, 154 Kb Details Authors and affiliations Farzali Izadi Department of Mathematics, Azarbaijan Shahid Madani University Tabriz, Iran Abstract … Continue reading

AMS Codes

This functionality is currently in “beta”. You can use the search box for specific AMS codes, which are not in the list. 00A65 05A15 05A19 05A20 05C20 05C40 05C69 11A07 11A25 11A41 11A51 11A55 11B05 11B25 11B37 11B39 11B50 11B65 … Continue reading

On Tate—Shafarevich groups of families of elliptic curves

Jerome T. Dimabayao and Fidel R. Nemenzo Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 18, 2012, Number 2, Pages 42—55 Download full paper: PDF, 228 Kb Details Authors and affiliations Jerome T. Dimabayao Institute of Mathematics, University … Continue reading

A note on the area and volume of right-angled triangles with integer sides

Winston Buckley Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 18, 2012, Number 1, Pages 6—8 Download full paper: PDF, 117 Kb Details Authors and affiliations Winston Buckley Division of Actuarial Science and Computational Finance, FOSS University of … Continue reading