Mean square limit for lattice points in a sphere
Pavel M. Bleher, Freeman J. Dyson (1994)
Acta Arithmetica
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Pavel M. Bleher, Freeman J. Dyson (1994)
Acta Arithmetica
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Myung-Hwan Kim (1993)
Acta Arithmetica
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Béla Bollobás, Paul Erdős, Guoping Jin (1993)
Acta Arithmetica
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Dae San Kim, Young Ho Park (1997)
Acta Arithmetica
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Benkart, Georgia, Smirnov, Oleg (2003)
Journal of Lie Theory
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Jeffrey Stopple (1995)
Acta Arithmetica
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Kohji Matsumoto, Tom Meurman (1994)
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.
Hong-Quan Liu (1993)
Acta Arithmetica
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