The jumping champions of the Farey series
Cristian Cobeli, Kevin Ford, Alexandru Zaharescu (2003)
Acta Arithmetica
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Cristian Cobeli, Kevin Ford, Alexandru Zaharescu (2003)
Acta Arithmetica
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K. Roth (1980)
Acta Arithmetica
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Eddy, N.O., Ukpong, I.J. (2006)
APPS. Applied Sciences
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Boguslawa Bednarek-Kozek, A. Kozek (1972)
Applicationes Mathematicae
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Oto Strauch (1994)
Mathematica Slovaca
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G. Kuba (2004)
Acta Arithmetica
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Matthev O. Ojo (2000)
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P. Erdös, R. Hall (1974)
Acta Arithmetica
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V.V. Michkovitch (1948)
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Stanković, Bogoljub (1998)
Novi Sad Journal of Mathematics
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John H. Hodges (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In 1972 the author used a result of K.F. Roth on irregularities in distribution of sequences of real numbers to prove an analogous result related to the distribution of sequences of integers in prescribed residue classes. Here, a 1972 result of W.M. Schmidt, which is an improvement of Roth's result, is used to obtain an improved result for sequences of integers.