论文标题

关于整数和素数商数字的分布

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

论文作者

Gambini, Alessandro, Tonon, Remis, Zaccagnini, Alessandro

论文摘要

我们研究了从间隔$ [1,t] $中获取的随机正整数的商数字的分布,从而改善了以前已知的错误术语为$ t \ to+\ to+\ infty $。我们还解决了问题的一些自然变体,这些变体与原点可见的主要坐标和点可见。

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.

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