Search Results for: 11M06

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 →

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Explicit formulas for sums related to Dirichlet L-functions

Brahim Mittou Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 744–748 DOI: 10.7546/nntdm.2022.28.4.744-748 Full paper (PDF, 182 Kb) Details Authors and affiliations Brahim Mittou   Department of Mathematics, University … Continue reading →

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Some multiple Dirichlet series of completely multiplicative arithmetic functions

Nabil Tahmi and Abdallah Derbal Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 4, Pages 603–616 DOI: 10.7546/nntdm.2022.28.4.603-616 Full paper (PDF, 216 Kb) Details Authors and affiliations Nabil Tahmi Department of … Continue reading →

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Series expansion of the Gamma function and its reciprocal

Ioana Petkova Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 104–115 DOI: 10.7546/nntdm.2021.27.4.104-115 Full paper (PDF, 284 Kb) Details Authors and affiliations Ioana Petkova Faculty of Mathematics and Informatics, … Continue reading →

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A simple proof of Linas’s theorem on Riemann zeta function

Jun Ikeda, Junsei Kochiya and Takato Ui Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 90–94 DOI: 10.7546/nntdm.2021.27.4.90-94 Full paper (PDF, 142 Kb) Details Authors and affiliations Jun Ikeda … Continue reading →

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A note on prime zeta function and Riemann zeta function. Corrigendum

Mladen Vassilev-Missana Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 51–53 DOI: 10.7546/nntdm.2021.27.2.51-53 Full paper (PDF, 141 Kb) Details Authors and affiliations Mladen Vassilev-Missana V. Hugo 5 Str, 1124, … Continue reading →

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On two theorems of Vassilev-Missana

Richard P. Brent Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 49–50 DOI: 10.7546/nntdm.2021.27.2.49-50 Full paper (PDF, 134 Kb) Details Authors and affiliations Richard P. Brent Mathematical Sciences Institute, … 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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Infinite series containing generalized harmonic functions

Kwang-Wu Chen and Yi-Hsuan Chen Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 2, Pages 85–104 DOI: 10.7546/nntdm.2020.26.2.85-104 Full paper (PDF, 287 Kb) Details Authors and affiliations Kwang-Wu Chen Department of … Continue reading →

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A bound of sums with convolutions of Dirichlet characters

Teerapat Srichan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 1, Pages 70–74 DOI: 10.7546/nntdm.2020.26.1.70-74 Full paper (PDF, 157 Kb) Details Authors and affiliations Teerapat Srichan Department of Mathematics, Faculty of … Continue reading →

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