Unimodal sequences: From Isaac Newton to June Huh

被引：1
|
作者：
Murty, M. Ram [1 ]
机构：
[1] Queens Univ Kingston, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 10期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Unimodal sequences; log-concave sequences; Newton's theorem; ADG conjecture; Rota-Welsh conjecture; EVERY PLANAR MAP; MAGIC SQUARES; HODGE THEORY; POLYNOMIALS; CONJECTURE;
D O I：
10.1142/S1793042124300011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a simple proof of a famous result of Newton on unimodal sequences associated to polynomials with real roots. We then give a brief exposition of the recent work of Huh on such sequences arising from combinatorial geometries.
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页码：2453 / 2476
页数：24
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