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

Faustin Adiceam. "An extension of a theorem of Duffin and Schaeffer in Diophantine approximation." Acta Arithmetica 162.3 (2014): 243-254. <http://eudml.org/doc/279153>.

@article{FaustinAdiceam2014,
abstract = {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.},
author = {Faustin Adiceam},
journal = {Acta Arithmetica},
keywords = {diophantine approximation; metric number theory; congruential constraint},
language = {eng},
number = {3},
pages = {243-254},
title = {An extension of a theorem of Duffin and Schaeffer in Diophantine approximation},
url = {http://eudml.org/doc/279153},
volume = {162},
year = {2014},
}

TY - JOUR
AU - Faustin Adiceam
TI - An extension of a theorem of Duffin and Schaeffer in Diophantine approximation
JO - Acta Arithmetica
PY - 2014
VL - 162
IS - 3
SP - 243
EP - 254
AB - 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.
LA - eng
KW - diophantine approximation; metric number theory; congruential constraint
UR - http://eudml.org/doc/279153
ER -