The application of a new mean value theorem to the fractional parts of polynomials
Trevor D. Wooley (1993)
Acta Arithmetica
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Trevor D. Wooley (1993)
Acta Arithmetica
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M. D. Coleman (1993)
Acta Arithmetica
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Patrick Morton (1998)
Acta Arithmetica
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Kent D. Boklan (1993)
Acta Arithmetica
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Béla Bollobás, Paul Erdős, Guoping Jin (1993)
Acta Arithmetica
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Yonutz Stanchescu (1998)
Acta Arithmetica
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Let K be a finite set of lattice points in a plane. We prove that if |K| is sufficiently large and |K+K| < (4 - 2/s)|K| - (2s-1), then there exist s - 1 parallel lines which cover K. We also obtain some more precise structure theorems for the cases s = 3 and s = 4.
Myung-Hwan Kim (1993)
Acta Arithmetica
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Julia Mueller (1993)
Acta Arithmetica
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