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On a theorem of Borel on diophantine approximation.
- Source :
- Ramanujan Journal; Oct2024, Vol. 65 Issue 2, p897-915, 19p
- Publication Year :
- 2024
-
Abstract
- A theorem of É. Borel's asserts that one of any three consecutive convergents of a real number a, which we denote p q , satisfies the inequality a - p q < C q 2 with C = 1 5 . In this paper we give more precise information about the constant C. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13824090
- Volume :
- 65
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Ramanujan Journal
- Publication Type :
- Academic Journal
- Accession number :
- 179815872
- Full Text :
- https://doi.org/10.1007/s11139-024-00922-6