Corpus ID: 232417382

An upper bound on the size of Sidon sets

@article{Balogh2021AnUB,
  title={An upper bound on the size of Sidon sets},
  author={J{\'o}zsef Balogh and Zolt{\'a}n F{\"u}redi and Souktik Roy},
  journal={ArXiv},
  year={2021},
  volume={abs/2103.15850}
}
In this entry point into the subject, combining two elementary proofs, we decrease the gap between the upper and lower bounds by 0.2% in a classical combinatorial number theory problem. We show that the maximum size of a Sidon set of {1, 2, . . . , n} is at most √n+ 0.998n for sufficiently large n. 1. History In 1932 S. Sidon asked a question of a fellow student P. Erdős. Their advisor was L. Fejér, an outstanding mathematician (cf. Fejér kernel) working on summability of infinite series, who… Expand
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