Highly Influenced

7 Excerpts

@inproceedings{Cilleruelo2008SIDONSI, title={SIDON SETS IN N}, author={Javier Cilleruelo}, year={2008} }

- Published 2008

We study finite and infinite Sidon sets in N. The additive energy of two sets is used to obtain new upper bounds for the cardinalities of finite Sidon subsets of some sets as well as to provide short proofs of already known results. We also disprove a conjecture of Lindstrom on the largest Sidon set in [1, N ]× [1, N ] and relate it to a known conjecture of Vinogradov concerning the size of the smallest quadratic residue modulo a prime p. For infinite Sidon sets A ⊂ N, we prove that lim infn… CONTINUE READING