On disjoint arithmetic progressions
Yong-Gao Chen (2005)
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Yong-Gao Chen (2005)
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Yahya Ould Hamidoune, Alain Plagne (2002)
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(2009)
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Brahmagupta
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John Leslie
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Andrzej Grzegorczyk (1956)
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Tomasz Schoen (2011)
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Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
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Ernest S. Croot III (2003)
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Qing-Zhong Ji (2011)
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Régis de la Bretèche, Kevin Ford, Joseph Vandehey (2013)
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We improve known bounds for the maximum number of pairwise disjoint arithmetic progressions using distinct moduli less than x. We close the gap between upper and lower bounds even further under the assumption of a conjecture from combinatorics about Δ-systems (also known as sunflowers).