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- W1977843980 abstract "A sequence ( a i ) of integers is weak Sidon or well-spread if the sums a i + a j , for i < j , are all different. Let f ( N ) denote the maximum integer n for which there exists a weak Sidon sequence 0 ⩽ a 1 < ⋯ < a n ⩽ N . Using an idea of Lindström [An inequality for B 2 -sequences, J. Combin. Theory 6 (1969) 211–212], we offer an alternate proof that f ( N ) < N 1 / 2 + O ( N 1 / 4 ) , an inequality due to Ruzsa [Solving a linear equation in a set of integers I, Acta. Arith. 65 (1993) 259–283]. The present proof improves Ruzsa's bound by decreasing the implicit constant, essentially from 4 to 3 ." @default.
- W1977843980 created "2016-06-24" @default.
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- W1977843980 date "2005-08-01" @default.
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- W1977843980 title "A note on weak Sidon sequences" @default.
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- W1977843980 doi "https://doi.org/10.1016/j.disc.2004.05.019" @default.
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