Search Results for: 11A55

A note on the length of some finite continued fractions

Khalil Ayadi and Chiheb Ben Bechir Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 372–377 DOI: 10.7546/nntdm.2023.29.2.372-377 Full paper (PDF, 225 Kb) Details Authors and affiliations Khalil Ayadi Sfax … Continue reading →

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A parametric family of quartic Thue inequalities

Salah Eddine Rihane, Mohand Ouamar Hernane and Alain Togbé Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 1–14 DOI: 10.7546/nntdm.2021.27.4.1-14 Full paper (PDF, 249 Kb) Details Authors and affiliations … Continue reading →

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A single parameter Hermite–Padé series representation for Apéry’s constant

Anier Soria-Lorente and Stefan Berres Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 3, Pages 107–134 DOI: 10.7546/nntdm.2020.26.3.107-134 Full paper (PDF, 324 Kb) Details Authors and affiliations Anier Soria-Lorente Department of … Continue reading →

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Continued fraction representations for theta functions

C. Adiga, T. Kim, D.-W. Park, Y. S. Ro and L.-C. Jang Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 9, 2003, Number 1, Pages 7–12 Full paper (PDF, 177 Kb) Details Authors and affiliations C. Adiga Department … 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 Zudilin-like rational approximations to ζ(5)

Anier Soria Lorente Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 104–116 DOI: 10.7546/nntdm.2018.24.2.104-116 Full paper (PDF, 209 Kb) Details Authors and affiliations Anier Soria Lorente Department of Mathematics, … Continue reading →

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On graphs whose Hosoya indices are primitive Pythagorean triples

Tomoe Kadoi and Yasuhide Numata Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 1, Pages 59–80 Full paper (PDF, 206 Kb) Details Authors and affiliations Tomoe Kadoi Department of Mathematical Sciences … 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 →

Pellian sequence relationships among π, e, √2

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 18, 2012, Number 2, Pages 58–62 Full paper (PDF, 143 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

The structure of ‘Pi’

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 17, 2011, Number 4, Pages 61–68 Full paper (PDF, 119 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →