In mathematics, a Brjuno number (sometimes spelled Bruno or Bryuno) is a special type of irrational number named for Russian mathematician Alexander Bruno, who introduced them in Brjuno (1971). == Formal definition == An irrational number α {\displaystyle \alpha } is called a Brjuno number when the infinite sum B ( α ) = ∑ n = 0 ∞ log q n + 1 q n {\displaystyle B(\alpha )=\sum _{n=0}^{\infty }{\frac {\log q_{n+1}}{q_{n}}}} converges to a finite number.
In mathematics, a Brjuno number (sometimes spelled Bruno or Bryuno) is a special type of irrational number named for Russian mathematician Alexander Bruno, who introduced them in Brjuno (1971). == Formal definition == An irrational number α {\displaystyle \alpha } is called a Brjuno number when the infinite sum B ( α ) = ∑ n = 0 ∞ log q n + 1 q n {\displaystyle B(\alpha )=\sum _{n=0}^{\infty }{\frac {\log q_{n+1}}{q_{n}}}} converges to a finite number.
Source: Wikipedia "Brjuno number" · CC BY-SA 4.0
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