Search Results for: 11N

On certain arithmetical products involving the divisors of an integer

József Sándor Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 111–115 DOI: 10.7546/nntdm.2024.30.1.111-115 Full paper (PDF, 210 Kb) Details Authors and affiliations József Sándor Department of Mathematics, Babeș-Bolyai University … Continue reading →

Comments Off on On certain arithmetical products involving the divisors of an integer

Distance between consecutive elements of the multiplicative group of integers modulo n

Steven Brown Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 81–99 DOI: 10.7546/nntdm.2024.30.1.81-99 Full paper (PDF, 314 Kb) Details Authors and affiliations Steven Brown 41 Boulevard du Roi, 78000 … Continue reading →

Comments Off on Distance between consecutive elements of the multiplicative group of integers modulo n

The average value of a certain number-theoretic function over the primes

Louis Rubin Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 3, Pages 564–570 DOI: 10.7546/nntdm.2023.29.3.564-570 Full paper (PDF, 212 Kb) Details Authors and affiliations Louis Rubin Department of Mathematics, Florida State … Continue reading →

Comments Off on The average value of a certain number-theoretic function over the primes

The Dirichlet divisor problem over square-free integers and unitary convolutions

André Pierro de Camargo Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 3, Pages 549–556 DOI: 10.7546/nntdm.2023.29.3.549-556 Full paper (PDF, 242 Kb) Details Authors and affiliations André Pierro de Camargo Federal … Continue reading →

Comments Off on The Dirichlet divisor problem over square-free integers and unitary convolutions

The mean value of the function \bm{\frac{d(n)}{d^*(n)}} in arithmetic progressions

Ouarda Bouakkaz and Abdallah Derbal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 3, Pages 445–453 DOI: 10.7546/nntdm.2023.29.3.445-453 Full paper (PDF, 304 Kb) Details Authors and affiliations Ouarda Bouakkaz Laboratoire d’Equations … Continue reading →

Comments Off on The mean value of the function \bm{\frac{d(n)}{d^*(n)}} in arithmetic progressions

On certain arithmetical functions of exponents in the factorization of integers

József Sándor and Krassimir T. Atanassov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 378–388 DOI: 10.7546/nntdm.2023.29.2.378-388 Full paper (PDF, 246 Kb) Details Authors and affiliations József Sándor Department … Continue reading →

Comments Off on On certain arithmetical functions of exponents in the factorization of integers

On the multiplicative group generated by \Big\{{[\sqrt {2}n]\over n}~\mid~n\in\mathbb{N} \Big\}. V

I. Kátai and B. M. Phong Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 348–353 DOI: 10.7546/nntdm.2023.29.2.348-353 Full paper (PDF, 291 Kb) Details Authors and affiliations I. Kátai Department … Continue reading →

Comments Off on On the multiplicative group generated by \Big\{{[\sqrt {2}n]\over n}~\mid~n\in\mathbb{N} \Big\}. V

New properties of divisors of natural number

Hamilton Brito da Silva Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 276–283 DOI: 10.7546/nntdm.2023.29.2.276-283 Full paper (PDF, 298 Kb) Details Authors and affiliations Hamilton Brito da Silva Instituto … Continue reading →

Comments Off on New properties of divisors of natural number

A primality test for Kpn + 1 numbers and a generalization of Safe primes and Sophie Germain primes

Abdelrahman Ramzy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 1, Pages 62–77 DOI: 10.7546/nntdm.2023.29.1.62-77 Full paper (PDF, 335 Kb) Details Authors and affiliations Abdelrahman Ramzy Department of Mathematics, Faculty of … Continue reading →

Comments Off on A primality test for Kpn + 1 numbers and a generalization of Safe primes and Sophie Germain primes

Two generalizations of Liouville λ function

André Pierro de Camargo Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 1, Pages 30–39 DOI: 10.7546/nntdm.2023.29.1.30-39 Full paper (PDF, 255 Kb) Details Authors and affiliations André Pierro de Camargo Federal … Continue reading →

Comments Off on Two generalizations of Liouville λ function