Generalized Sidon sets

作者：Cilleruelo Javier^*; Ruzsa Imre; Vinuesa Carlos

来源：Advances in Mathematics, 2010, 225(5): 2786-2807.

DOI：10.1016/j.aim.2010.05.010

• Sidon sets
• B(2)[g] sets

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.

• 出版日期2010-12-1