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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...

Olles dieđut

Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkkit: Sunanta Srisopha, Teerapat Srichan
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2024-06-01
Ráidu:Notes on Number Theory and Discrete Mathematics
Fáttát:
Liŋkkat:https://nntdm.net/papers/nntdm-30/NNTDM-30-2-427-435.pdf
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