Abstract
Let ξ be an irrational number with simple continued fraction expansion ξ= [a0;a1,a2,…], Pn/qn be its nth convergent, . The following two theorems were proved by Müller [9] and rediscovered by Bagemihl and McLaughlin [1]:Theorem 1.For n>1,
Publisher
Cambridge University Press (CUP)
Reference22 articles.
1. Über Näherungswerte und Kettenbruche;Vahlen;J. Reine Angew. Math.,1895
2. The conjugate property of the Borel theorem on diophantine approximation
3. Bemerkung zur Theorie der Approximation der irrationalen Zahlen durch rationale Zahlen;Fujiwara;Tohoku Math. J.,1918
4. Lattice points in infinite domains, and asymmetric Diophantine approximations
5. Approximation by continued fractions
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献