On the distribution of powerful and r-free lattice points
Let 1<c<2. For m,n∈ℕ, a lattice point (m,n) is powerful if and only if gcd(m,n) is a powerful number, where gcd(*,*) is the greatest common divisor function. In this paper, we count the number of the ordered pairs (m,n), m,n≤x such that the lattice point (⌊mᶜ⌋,⌊nᶜ⌋) is powerful. Moreover, we study r...
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| Hauptverfasser: | , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
2024-06-01
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| Schriftenreihe: | Notes on Number Theory and Discrete Mathematics |
| Schlagworte: | |
| Online-Zugang: | https://nntdm.net/papers/nntdm-30/NNTDM-30-2-427-435.pdf |
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