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