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Abstract <p> 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. </p>

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Improving Cardinality Estimation of Sums of Sets with Convexity

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • J. Ikeda

摘要

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.