An extension of a theorem of Duffin and Schaeffer in Diophantine approximation

• Autorzy: Faustin Adiceam
• Języki publikacji: EN

Abstrakty

EN

Duffin and Schaeffer have generalized the classical theorem of Khintchine in metric Diophantine approximation in the case of any error function under the assumption that all the rational approximants are irreducible. This result is extended to the case where the numerators and the denominators of the rational approximants are related by a congruential constraint stronger than coprimality.

Kategorie tematyczne

• 11K60: Diophantine approximation
• 11J83: Metric theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 162
• Numer: 3
• Strony: 243-254

Daty

wydano

2014

Twórcy

autor

Faustin Adiceam

• Department of Mathematics, National University of Ireland at Maynooth, Maynooth, Co. Kildare, Ireland

Identyfikatory

DOI

10.4064/aa162-3-3