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10 - The Haight–Ruzsa Method for Sets with More Differences than Multiple Sums

Published online by Cambridge University Press:  25 May 2018

Melvyn B. Nathanson
Affiliation:
Department of Mathematics, Lehman College (CUNY), Bronx, NY 10468, USA
Steve Butler
Affiliation:
Iowa State University
Joshua Cooper
Affiliation:
University of South Carolina
Glenn Hurlbert
Affiliation:
Virginia Commonwealth University
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Connections in Discrete Mathematics
A Celebration of the Work of Ron Graham
, pp. 173 - 186
Publisher: Cambridge University Press
Print publication year: 2018

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References

1. J. A., Haight. Difference covers which have small k-sums for any k. Mathematika 20 (1973), 109–118.Google Scholar
2. P., Hegarty and S. J., Miller. When almost all sets are difference dominated. Rand om Struct. Algorith. 35, no. 1 (2009), 118–136.Google Scholar
3. P. V., Hegarty. Some explicit constructions of sets with more sums than differences. Acta Arith. 130 (2007), 61–77.Google Scholar
4. G., Iyer, O., Lazarev, S. J., Miller, and L., Zhang. Generalized more sums than differences sets. J. Number Theory 132, no. 5 (2012), 1054–1073.Google Scholar
5. G., Iyer, O., Lazarev, S. J., Miller, and L., Zhang. Finding and counting MSTD sets. Combinatorial and additive number theory—CANT 2011 and 2012. Springer Proc. Math. Stat., Vol. 101, Springer, New York, 2014, pp. 79–98.Google Scholar
6. G., Martin and K., O'Bryant. Many sets have more sums than differences. Additive combinatorics. CRM Proc. Lecture Notes, Vol. 43, Amer. Math. Soc., Providence, RI, 2007, pp. 287–305.Google Scholar
7. M. B., Nathanson. Problems in additive number theory. I. Additive combinatorics. CRM Proc. Lecture Notes, Vol. 43. Amer. Math. Soc., Providence, RI, 2007, pp. 263–270.Google Scholar
8. M. B., Nathanson. Sets with more sums than differences. Integers 7 (2007), A5, 24.Google Scholar
9. I. Z., Ruzsa. More differences than multiple sums. arXiv: 1601.04146, 2016.

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