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Generalized Sidon sets |
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| Authors: | Javier Cilleruelo Imre Ruzsa Carlos Vinuesa |
| Institution: | a Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 - Madrid, Spain b Alfréd Rényi Institute of Mathematics, Budapest, Pf. 127, H-1364 Hungary c Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 - Madrid, Spain |
| Abstract: | We give asymptotic sharp estimates for the cardinality of a set of residue classes with the property that the representation function is bounded by a prescribed number. We then use this to obtain an analogous result for sets of integers, answering an old question of Simon Sidon. |
| Keywords: | 11B |
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