- Tytuł:
- 'The mother of all continued fractions'
- Autorzy:
-
Dajani, Karma
Kraaikamp, Cor - Powiązania:
- https://bibliotekanauki.pl/articles/965726.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
insertion
ergodic theory
continued fractions
singularization - Opis:
- We give the relationship between regular continued fractions and Lehner fractions, using a procedure known as insertion}. Starting from the regular continued fraction expansion of any real irrational x, when the maximal number of insertions is applied one obtains the Lehner fraction of x. Insertions (and singularizations) show how these (and other) continued fraction expansions are related. We also investigate the relation between Lehner fractions and the Farey expansion (also known as the full continued fraction), and obtain the ergodic system underlying the Farey expansion.
- Źródło:
-
Colloquium Mathematicum; 2000, 84/85, 1; 109-123
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł