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Distribution of constant terms of irreducible polynomials in ℤp[x] whose degree is a product of two distinct odd primes

Sarah C. Cobb, Michelle L. Knox, Marcos Lopez, Terry McDonald, and Patrick Mitchell Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 195–210 DOI: 10.7546/nntdm.2024.30.1.195-210 Full paper (PDF, 280 Kb) … Continue reading →

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Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, I

A. M. S. Ramasamy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 116–140 DOI: 10.7546/nntdm.2024.30.1.116-140 Full paper (PDF, 347 Kb) Details Authors and affiliations A. M. S. Ramasamy Department … Continue reading →

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Heilbronn-like sums and their properties

H. Saydi and M. R. Darafsheh Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 3, Pages 104–112 DOI: 10.7546/nntdm.2021.27.3.104-112 Full paper (PDF, 227 Kb) Details Authors and affiliations H. Saydi College … Continue reading →

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Significant role of the specific prime number p = 257 in the improvement of cryptosystems

Hana Ali-Pacha, Naima Hadj-Said, Adda Ali-Pacha and Özen Özer Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367-8275 Volume 26, 2020, Number 4, Pages 213–222 DOI: 10.7546/nntdm.2020.26.4.213-222 Full paper (PDF, 156 Kb) Details Authors and affiliations … Continue reading →

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On multiplicative order of elements in finite fields based on cyclotomic polynomials

Roman Popovych Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 2, Pages 47–52 DOI: 10.7546/nntdm.2020.26.2.47-52 Full paper (PDF, 97 Kb) Details Authors and affiliations Roman Popovych Department of Specialized Computer Systems, … Continue reading →

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Distribution of constant terms of irreducible polynomials in ℤp[x]

Sarah C. Cobb, Michelle L. Knox, Marcos Lopez, Terry McDonald and Patrick Mitchell Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 4, Pages 72–82 DOI: 10.7546/nntdm.2019.25.4.72-82 Full paper (PDF, 206 Kb) … Continue reading →

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Revisiting some old results on odd perfect numbers

Jose Arnaldo Bebita Dris and Doli-Jane Uvales Tejada Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 18–25 DOI: 10.7546/nntdm.2018.24.4.18-25 Full paper (PDF, 177 Kb) Details Authors and affiliations Jose … Continue reading →

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Fermat and Mersenne numbers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 11, 2005, Number 4, Pages 17–24 Full paper (PDF, 114 Kb) Details Authors and affiliations J. V. Leyendekkers The University of Sydney, 2006 … Continue reading →

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A conjecture on degrees of algebraic equations

Simon Davis Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 2, Pages 84–90 Full paper (PDF, 175 Kb) Details Authors and affiliations Simon Davis Research Foundation of Southern California 8837 Villa … Continue reading →

On transitive polynomials modulo integers

Mohammad Javaheri and Gili Rusak Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 2, Pages 23–35 Full paper (PDF, 223 Kb) Details Authors and affiliations Mohammad Javaheri School of Science, Siena … Continue reading →