On a theorem of Borel on diophantine approximation.
Autor: | Hančl, Jaroslav, Nair, Radhakrishnan |
---|---|
Zdroj: | Ramanujan Journal; Oct2024, Vol. 65 Issue 2, p897-915, 19p |
Abstrakt: | 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] |
Databáze: | Complementary Index |
Externí odkaz: |