Diophantine approximations related to rational values of G-functions
Makoto Nagata (2003)
Acta Arithmetica
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Makoto Nagata (2003)
Acta Arithmetica
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Serge Lang, John Coates (1976)
Inventiones mathematicae
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E.V. Flynn (1991)
Inventiones mathematicae
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Barry Mazur (1972)
Inventiones mathematicae
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ERNST S. SELMER (1956)
Mathematica Scandinavica
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Petulante, Nelson, Kaja, Ifeoma (2000)
International Journal of Mathematics and Mathematical Sciences
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Maciej Ulas (2010)
Acta Arithmetica
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Henk, Martin, Weismantel, Robert (2000)
Beiträge zur Algebra und Geometrie
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Antonio Cafure, Guillermo Matera (2007)
Acta Arithmetica
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Kay Wingberg (1987/88)
Mathematische Annalen
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Faustin Adiceam (2014)
Acta Arithmetica
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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.
Joseph H. Silverman (1991)
Inventiones mathematicae
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