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.

引用

页码：2453 / 2476

页数：24