On the distribution of the digits of quotients of integers and primes

Alessandro Gambini,Remis Tonon,Alessandro Zaccagnini

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES（2022）

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摘要

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 -> +infinity. We also resolve some natural variants of the problem concerning points with prime coordinates and points that are visible from the origin.

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关键词

Quotient of random integers, lattice points, elementary probability, Euler psi function

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