Geodesic
An extension of a theorem of Duffin and Schaeffer in Diophantine approximation
Faustin Adiceam 1
1 Department of Mathematics National University of Ireland at Maynooth Maynooth, Co. Kildare, Ireland
Acta Arithmetica, Tome 162 (2014) no. 3, pp. 243-254 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa162-3-3
Keywords: duffin schaeffer have generalized classical theorem khintchine metric diophantine approximation error function under assumption rational approximants irreducible result extended where numerators denominators rational approximants related congruential constraint stronger coprimality

Faustin Adiceam  1

1 Department of Mathematics National University of Ireland at Maynooth Maynooth, Co. Kildare, Ireland 
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Faustin Adiceam. An extension of a theorem of Duffin and Schaeffer in Diophantine approximation. Acta Arithmetica, Tome 162 (2014) no. 3, pp. 243-254. doi: 10.4064/aa162-3-3

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