Asymptotic distribution of the zeros of the Ehrhart polynomial of the cross-polytope

Miguel Rodríguez

doi:10.1016/j.jat.2013.03.005

Asymptotic distribution of the zeros of the Ehrhart polynomial of the cross-polytope

Research output: Contribution to journal › Article › peer-review

Abstract

We use the method of steepest descents to study the zero distribution of the Ehrhart polynomial of the d-dimensional cross-polytope as d→ ∞.

Original language	English
Pages (from-to)	56-77
Number of pages	22
Journal	Journal of Approximation Theory
Volume	169
DOIs	https://doi.org/10.1016/j.jat.2013.03.005
State	Published - May 2013
Externally published	Yes

Keywords

Cross-polytope
Ehrhart polynomial
Laplace's method
Steepest descent
Zero distribution

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10.1016/j.jat.2013.03.005

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title = "Asymptotic distribution of the zeros of the Ehrhart polynomial of the cross-polytope",

abstract = "We use the method of steepest descents to study the zero distribution of the Ehrhart polynomial of the d-dimensional cross-polytope as d→ ∞.",

keywords = "Cross-polytope, Ehrhart polynomial, Laplace's method, Steepest descent, Zero distribution",

author = "Miguel Rodr{\'i}guez",

year = "2013",

month = may,

doi = "10.1016/j.jat.2013.03.005",

language = "English",

volume = "169",

pages = "56--77",

journal = "Journal of Approximation Theory",

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AU - Rodríguez, Miguel

PY - 2013/5

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N2 - We use the method of steepest descents to study the zero distribution of the Ehrhart polynomial of the d-dimensional cross-polytope as d→ ∞.

AB - We use the method of steepest descents to study the zero distribution of the Ehrhart polynomial of the d-dimensional cross-polytope as d→ ∞.

KW - Cross-polytope

KW - Ehrhart polynomial

KW - Laplace's method

KW - Steepest descent

KW - Zero distribution

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DO - 10.1016/j.jat.2013.03.005

M3 - Article

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SN - 0021-9045

VL - 169

SP - 56

EP - 77

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

ER -

Asymptotic distribution of the zeros of the Ehrhart polynomial of the cross-polytope

Abstract

Keywords

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