Search Results for: 11C08

Classifying Galois groups of an orthogonal family of quartic polynomials

Pradipto Banerjee and Ranjan Bera Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 172–190 DOI: 10.7546/nntdm.2021.27.2.172-190 Full paper (PDF, 232 Kb) Details Authors and affiliations Pradipto Banerjee Department of … Continue reading →

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Analysis of the roots of some Cardano cubes

J. Leyendekkers and A. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 6, 2000, Number 4, Pages 113–117 Full paper (PDF, 175 Kb) Details Authors and affiliations J. Leyendekkers The University of Sydney, 2006, Australia A. Shannon … Continue reading →

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Some aspects of the dominant root of a characteristic polynomial

A. Shannon and J. Clarke Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 6, 2000, Number 1, Pages 14–22 Full paper (PDF, 276 Kb) Details Authors and affiliations A. Shannon KvB Institute of Technology, North Sydney, 2060, & … Continue reading →

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The Cardano family of equations

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 5, 1999, Number 4, Pages 151–162 Full paper (PDF, 391 Kb) Details Authors and affiliations J. V. Leyendekkers The University of Sydney, 2006, … Continue reading →

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Powers as a difference of squares: The effect on triples

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 8, 2002, Number 3, Pages 95–106 Full paper (PDF, 519 Kb) Details Authors and affiliations J. V. Leyendekkers The University of Sydney NSW … Continue reading →

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Algebraic and geometric analysis of a Fermat/Cardano cubic

J. V. Leyendekkers, A. G. Shannon and C. K. Wong Notes on Number Theory and Discrete Mathematics ISSN 1310–5132 Volume 8, 2002, Number 3, Pages 85–94 Full paper (PDF, 463 Kb) Details Authors and affiliations J. V. Leyendekkers The University … Continue reading →

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Integer structure and constraints on powers within the modular ring ℤ4 – Part II: Odd powers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 8, 2002, Number 2, Pages 58–66 Full paper (PDF, 3398 Kb) Details Authors and affiliations J. V. Leyendekkers The University of Sydney NSW … Continue reading →

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Integer structure and constraints on powers within the modular ring ℤ4 – Part I: Even powers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 8, 2002, Number 2, Pages 41–57 Full paper (PDF, 7877 Kb) Details Authors and affiliations J. V. Leyendekkers The University of Sydney NSW … Continue reading →

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Differential and difference polynomial sequences

Veasna Kim, Vichian Laohakosol and Supawadee Prugsapitak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 4, Pages 58–65 DOI: 10.7546/nntdm.2019.25.4.58-65 Full paper (PDF, 201 Kb) Details Authors and affiliations Veasna Kim … Continue reading →

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Eisenstein’s criterion, Fermat’s last theorem, and a conjecture on powerful numbers

Pietro Paparella Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 2, Pages 22–29 DOI: 10.7546/nntdm.2019.25.2.22-29 Full paper (PDF, 4121 Kb) Details Authors and affiliations Pietro Paparella  Division of Engineering and Mathematics, … Continue reading →

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