Search Results for: 11B65

Congruences involving alternating sums related to harmonic numbers and binomial coefficients

Laid Elkhiri, Miloud Mihoubi and Abdellah Derbal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 4, Pages 39–51 DOI: 10.7546/nntdm.2020.26.4.39-51 Full paper (PDF, 187 Kb) Details Authors and affiliations Laid Elkhiri … Continue reading

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Half self-convolution of the k-Fibonacci sequence

Sergio Falcon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 3, Pages 96–106 DOI: 10.7546/nntdm.2020.26.3.96-106 Full paper (PDF, 202 Kb) Details Authors and affiliations Sergio Falcon Department of Mathematics, University of … Continue reading

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Generalized Bernoulli polynomials & Jackson’s calculus of sequences

A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 9, 2003, Number 1, Pages 1–6 Full paper (PDF, 168 Kb) Details Authors and affiliations A. G. Shannon Warrane College, The University of New South Wales Kensington … Continue reading

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Gaussian binomial coefficients

A. G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 1, Pages 225-229 DOI: 10.7546/nntdm.2020.26.1.225-229 Full paper (PDF, 528 Kb) Details Authors and affiliations A. G. Shannon Warrane College The … Continue reading

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Multisection of series

A. G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 4, Pages 66–71 DOI: 10.7546/nntdm.2019.25.4.66-71 Full paper (PDF, 151 Kb) Details Authors and affiliations A. G. Shannon Warrane College, The … Continue reading

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Applications of Mollie Horadam’s generalized integers to Fermatian and Fibonacci numbers

A. G. Shannon Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 2, Pages 113-126 DOI: 10.7546/nntdm.2019.25.2.113-126 Full paper (PDF, 153 Kb) Details Authors and affiliations A. G. Shannon Fellow, Warrane College, … Continue reading

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Some Fermatian special functions

A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 9, 2003, Number 4, Pages 73–82 Full paper (PDF, 101 Kb) Details Authors and affiliations A. G. Shannon Warrane College, The University of New South Wales, 1465, … Continue reading

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Some properties of Fermatian numbers

A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 10, 2004, Number 2, Pages 25–33 Full paper (PDF, 152 Kb) Details Authors and affiliations A. G. Shannon Warrane College, The University of New South Wales, Kensington … Continue reading

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The q-Lah numbers and the nth q-derivative of expq(1/n)

Jacob Katriel Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 2, Pages 45–47 Full paper (PDF, 145 Kb) Details Authors and affiliations Jacob Katriel Department of Chemistry, Technion – Israel Institute … Continue reading

Some identities on Schläfli-type mixed modular equations

B. R. Srivatsa Kumar, B. Sowmya Navada and Ranjani Nayak Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 21, 2015, Number 1, Pages 86–91 Full paper (PDF, 139 Kb) Details Authors and affiliations B. R. Srivatsa Kumar Department … Continue reading