A Survey of Erdős-Szekeres Products

D. S. Lubinsky ()
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D. S. Lubinsky: Georgia Tech

A chapter in Geometry and Non-Convex Optimization, 2025, pp 293-314 from Springer

Abstract: Abstract Let s j j = 1 n $$\left \{ s_{j}\right \} _{j=1}^{n}$$ be positive integers. In 1959, Erd ős and Szekeres posed a number of problems about the size of polynomials of the form ∏ j = 1 n 1 − z s j , $$\displaystyle \Pi _{j=1}^{n}\left ( 1-z^{s_{j}}\right ) , $$ where s j j = 1 n $$\left \{ s_{j}\right \} _{j=1}^{n}$$ are positive integers. We survey results on these problems and closely related questions.

Keywords: Erdos-Szekeres products; Polynomials (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-87057-6_12

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DOI: 10.1007/978-3-031-87057-6_12

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