Geodesic
On the distribution of the digits of quotients of integers and primes
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 279-295

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DOI

We investigate the distribution of the digits of quotients of randomly chosen positive integers taken from the interval $[1,T]$, improving the previously known error term for the counting function as $T\to +\infty $. We also resolve some natural variants of the problem concerning points with prime coordinates and points that are visible from the origin.
DOI : 10.4153/S0008439521000278
Mots-clés : Quotient of random integers, lattice points, elementary probability, Euler ψ function 
Gambini, Alessandro; Tonon, Remis; Zaccagnini, Alessandro. On the distribution of the digits of quotients of integers and primes. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 279-295. doi: 10.4153/S0008439521000278
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     title = {On the distribution of the digits of quotients of integers and primes},
     journal = {Canadian mathematical bulletin},
     pages = {279--295},
     year = {2022},
     volume = {65},
     number = {2},
     doi = {10.4153/S0008439521000278},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000278/}
}
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