---
tag: 0PYEZM6CN9
kind: concept
name: Liouville number
msc: [11J81]
sources:
  - url: https://en.wikipedia.org/wiki/Liouville_number
    locator: lead section
same_as:
  wikidata: Q1755697
  wikipedia: Liouville number
---

## Summary

A Liouville number is a real number that has rational approximations $p/q$ with error smaller than $1/q^n$ for each $n$.
The [[definition of a Liouville number|0J1R5NP36S]] gives the precise form.