Generalized sidon sets

By Javier Cilleruelo, Imre Z. Ruzsa, C. Vinuesa. 2009

47 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/cdd9ede2d03b14e4d017443d24c6cd7eaa88d209

Citations in the corpus

• AlphaEvolve: A coding agent for scientific and algorithmic discovery (2025, unknown): “Examples range from finding dense packings of geometric shapes [29] to identifying functions or sets satisfying specific combinatorial or analytic constraints (e.g., [39, 40, 70, 104]).”