Search Results for: 11G05

On the rational solutions of y2 =x3 + k6n+3

Richa Sharma and Sanjay Bhatter Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 3, Pages 130–142 DOI: 10.7546/nntdm.2021.27.3.130-142 Full paper (PDF, 218 Kb) Details Authors and affiliations Richa Sharma Department of … Continue reading

Comments Off on On the rational solutions of y2 =x3 + k6n+3

On a class of quartic Diophantine equations

F. Izadi, M. Baghalaghdam and S. Kosari Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 1, Pages 1–6 DOI: 10.7546/nntdm.2021.27.1.1-6 Full paper (PDF, 177 Kb) Details Authors and affiliations F. Izadi … Continue reading

Comments Off on On a class of quartic Diophantine equations

A parametrised family of Mordell curves with a rational point of order 3

Ajai Choudhry and Arman Shamsi Zargar Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 1, Pages 40–44 DOI: 10.7546/nntdm.2020.26.1.40-44 Full paper (PDF, 115 Kb) Details Authors and affiliations Ajai Choudhry 13/4 … Continue reading

Comments Off on A parametrised family of Mordell curves with a rational point of order 3

A family of elliptic curves of rank ≥ 5 over ℚ(m)

Arman Shamsi Zargar and Naser Zamani Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 4, Pages 24–29 DOI: 10.7546/nntdm.2019.25.4.24-29 Full paper (PDF, 172 Kb) Details Authors and affiliations Arman Shamsi Zargar … Continue reading

Comments Off on A family of elliptic curves of rank ≥ 5 over ℚ(m)

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

Comments Off on New methods for obtaining new families of congruent numbers

Some new families of positive-rank elliptic curves arising from Pythagorean triples

Mehdi Baghalaghdam and Farzali Izadi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 27–36 DOI: 10.7546/nntdm.2018.24.3.27-36 Full paper (PDF, 194 Kb) Details Authors and affiliations Mehdi Baghalaghdam Department of … Continue reading

Comments Off on Some new families of positive-rank elliptic curves arising from Pythagorean triples

On a class of quartic Diophantine equations of at least five variables

Hamid Reza Abdolmalki and Farzali Izadi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 1–9 DOI: 10.7546/nntdm.2018.24.3.1-9 Full paper (PDF, 179 Kb) Details Authors and affiliations Hamid Reza Abdolmalki … Continue reading

Comments Off on On a class of quartic Diophantine equations of at least five variables

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 Zagier’s conjecture for L(E, 2): A number field example

Jeffrey Stopple Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 18, 2012, Number 4, Pages 47–53 Full paper (PDF, 164 Kb) Details Authors and affiliations Jeffrey Stopple Mathematics Department, UC Santa Barbara Santa Barbara CA 93106, United States … 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 Full paper (PDF, 228 Kb) Details Authors and affiliations Jerome T. Dimabayao Institute of Mathematics, University of … Continue reading