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Improving cardinality estimation of sums of sets with convexity

Combinatorics 2025-08-07 v1

Abstract

This paper presents a slight improvement of the estimate of sumsets of convex sets with negative discrete third derivative. The proposed method is based on some previous works in incidence geometry and use of spectrum method developed earlier for notable progresses in this fields.

Keywords

Cite

@article{arxiv.2508.04480,
  title  = {Improving cardinality estimation of sums of sets with convexity},
  author = {Jun Ikeda},
  journal= {arXiv preprint arXiv:2508.04480},
  year   = {2025}
}

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7 pages