



















This paper provides a probabilist point of view about some results in analytic number theory. The main tool is the family of Zeta laws, which is a consolation for the non-existence of an uniform law on the set of integers. We prove the existence and compute the natural density for the pairs of coprime integers, and also for the pairs of coprime Gaussian integers.Along the way, we recover the decomposition of the Zeta function as an Eulerian product and some related results.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。