Search Results for: 11B25

Representations of positive integers as sums of arithmetic progressions, II

Chungwu Ho, Tian-Xiao He and Peter J.-S. Shiue Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 260–275 DOI: 10.7546/nntdm.2023.29.2.260-275 Full paper (PDF, 265 Kb) Details Authors and affiliations Chungwu … Continue reading →

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Representations of positive integers as sums of arithmetic progressions, I

Chungwu Ho, Tian-Xiao He and Peter J.-S. Shiue Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 241–259 DOI: 10.7546/nntdm.2023.29.2.241-259 Full paper (PDF, 284 Kb) Details Authors and affiliations Chungwu … Continue reading →

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Note on the natural density of r-free numbers

Sunanta Srisopha, Teerapat Srichan and Sukrawan Mavecha Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 28, 2022, Number 3, Pages 435–440 DOI: 10.7546/nntdm.2022.28.3.435-440 Full paper (PDF, 230 Kb) Details Authors and affiliations Sunanta Srisopha … Continue reading →

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Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers

Peter J. Shiue, Shen C. Huang and Jorge E. Reyes Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 4, Pages 140–148 DOI: 10.7546/nntdm.2021.27.4.140-148 Full paper (PDF, 286 Kb) Details Authors and … Continue reading →

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Sums of powers of integers and hyperharmonic numbers

José Luis Cereceda Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 27, 2021, Number 2, Pages 101–110 DOI: 10.7546/nntdm.2021.27.2.101-110 Full paper (PDF, 191 Kb) Details Authors and affiliations José Luis Cereceda Collado Villalba, 28400 … Continue reading →

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On algorithms for computing the sums of powers of arithmetic progressions

Peter J. Shiue, Shen C. Huang and Eric Jameson Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 26, 2020, Number 4, Pages 113–121 DOI: 10.7546/nntdm.2020.26.4.113-121 Full paper (PDF, 156 Kb) Details Authors and affiliations … Continue reading →

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Sums of reciprocals of integers

Simon Davis Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 25, 2019, Number 1, Pages 1–7 DOI: 10.7546/nntdm.2019.25.1.1-7 Full paper (PDF, 182 Kb) Details Authors and affiliations Simon Davis 8861 Villa La Jolla Drive … Continue reading →

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Valuations, arithmetic progressions, and prime numbers

Shin-ichiro Seki Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 4, Pages 128–132 DOI: 10.7546/nntdm.2018.24.4.128-132 Full paper (PDF, 156 Kb) Details Authors and affiliations Shin-ichiro Seki Mathematical Institute, Tohoku University 6-3, … Continue reading →

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Two triangular number primality tests and twin prime counting in arithmetic progressions of modulus 8

Werner Hürlimann Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 21, 2015, Number 4, Pages 22–29 Full paper (PDF, 103 Kb) Details Authors and affiliations Werner Hürlimann Swiss Mathematical Society, University of Fribourg 1700 Fribourg, Switzerland Abstract Two … Continue reading →

Distribution of prime numbers by the modified chi-square function

Daniele Lattanzi Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 21, 2015, Number 1, Pages 18–30 Full paper (PDF, 246 Kb) Details Authors and affiliations Daniele Lattanzi Former ENEA-FUS, Frascati, Roma, Italy Private address: Via La Spezia 81 … Continue reading →