Search Results for: 11B83

On generalized (k, r)-Pell and (k, r)-Pell–Lucas numbers

Bahar Kuloğlu and Engin Özkan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 765–777 DOI: 10.7546/nntdm.2022.28.4.765-777 Full paper (PDF, 273 Kb) Details Authors and affiliations Bahar Kuloğlu Department of … Continue reading →

Comments Off on On generalized (k, r)-Pell and (k, r)-Pell–Lucas numbers

Congruences via umbral calculus

Abdelkader Benyattou Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 719–729 DOI: 10.7546/nntdm.2022.28.4.719-729 Full paper (PDF, 193 Kb) Details Authors and affiliations Abdelkader Benyattou Department of Mathematics and Informatics, … Continue reading →

Comments Off on Congruences via umbral calculus

On a new class of the generalized Gauss k-Pell numbers and their polynomials

Ahmet Kaya and Hayrullah Özimamoğlu Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 593–602 DOI: 10.7546/nntdm.2022.28.4.593-602 Full paper (PDF, 174 Kb) Details Authors and affiliations Ahmet Kaya Departments of … Continue reading →

Comments Off on On a new class of the generalized Gauss k-Pell numbers and their polynomials

An introduction to harmonic complex numbers and harmonic hybrid Fibonacci numbers: A unified approach

Emel Karaca and Fatih Yılmaz Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 542–557 DOI: 10.7546/nntdm.2022.28.3.542-557 Full paper (PDF, 230 Kb) Details Authors and affiliations Emel Karaca Department of … Continue reading →

Comments Off on An introduction to harmonic complex numbers and harmonic hybrid Fibonacci numbers: A unified approach

Some congruences on the hyper-sums of powers of integers involving Fermat quotient and Bernoulli numbers

Fouad Bounebirat and Mourad Rahmani Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 533–541 DOI: 10.7546/nntdm.2022.28.3.533-541 Full paper (PDF, 174 Kb) Details Authors and affiliations Fouad Bounebirat Department of … Continue reading →

Comments Off on Some congruences on the hyper-sums of powers of integers involving Fermat quotient and Bernoulli numbers

On the derivatives of B-Tribonacci polynomials

Suchita Arolkar Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 491–499 DOI: 10.7546/nntdm.2022.28.3.491-499 Full paper (PDF, 167 Kb) Details Authors and affiliations Suchita Arolkar Department of Mathematics and Statistics, … Continue reading →

Comments Off on On the derivatives of B-Tribonacci polynomials

Generalized Pisano numbers

Yüksel Soykan, İnci Okumuş and Erkan Taşdemir Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 477–490 DOI: 10.7546/nntdm.2022.28.3.477-490 Full paper (PDF, 196 Kb) Details Authors and affiliations Yüksel Soykan … Continue reading →

Comments Off on Generalized Pisano numbers

Notes on efficient computation of Ramanujan cubic equations

Peter J.-S. Shiue, Anthony G. Shannon, Shen C. Huang, Jorge E. Reyes Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 350–375 DOI: 10.7546/nntdm.2022.28.2.350-375 Full paper (PDF, 335 Kb) Details … Continue reading →

Comments Off on Notes on efficient computation of Ramanujan cubic equations

About the theorem that partially solves the Navarrete–Orellana Conjecture

Jorge Andrés Julca Avila and Gabriel Silva de Andrade Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 2, Pages 302–317 DOI: 10.7546/nntdm.2022.28.2.302-317 Full paper (PDF, 344 Kb) Details Authors and affiliations … Continue reading →

Comments Off on About the theorem that partially solves the Navarrete–Orellana Conjecture

Cycles of higher-order Collatz sequences

John L. Simons Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 1, Pages 48–63 DOI: 10.7546/nntdm.2022.28.1.48-63 Full paper (PDF, 326 Kb) Details Authors and affiliations John L. Simons University of Groningen … Continue reading →

Comments Off on Cycles of higher-order Collatz sequences