A Tropical Analog of Descartes' Rule of Signs

Jens Forsgard; Dmitry Novikov; Boris Shapiro

doi:10.1093/imrn/rnw118

A Tropical Analog of Descartes' Rule of Signs

Jens Forsgard
, Dmitry Novikov
, Boris Shapiro

Department of Mathematics

Weizmann Institute of Science

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

Abstract

We prove that for any degree d, there exist (families of) finite sequences {lambda(k,d)} 0

Original language	English
Pages (from-to)	3726-3750
Number of pages	25
Journal	International Mathematics Research Notices
Issue number	12
DOIs	https://doi.org/10.1093/imrn/rnw118
State	Published - Jun 2017

Access to Document

10.1093/imrn/rnw118

https://ezproxy.weizmann.ac.il/login?url=http://dx.doi.org/10.1093/imrn/rnw118

Cite this

@article{2c87bca0d8cf4d7989f096b44149fb2e,

title = "A Tropical Analog of Descartes' Rule of Signs",

abstract = "We prove that for any degree d, there exist (families of) finite sequences \{lambda(k,d)\} 0",

author = "Jens Forsgard and Dmitry Novikov and Boris Shapiro",

note = "Minerva foundation; Federal German Ministry for Education and ResearchThis work was supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research. This work was supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research.",

year = "2017",

month = jun,

doi = "10.1093/imrn/rnw118",

language = "الإنجليزيّة",

pages = "3726--3750",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "12",

}

TY - JOUR

T1 - A Tropical Analog of Descartes' Rule of Signs

AU - Forsgard, Jens

AU - Novikov, Dmitry

AU - Shapiro, Boris

N1 - Minerva foundation; Federal German Ministry for Education and ResearchThis work was supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research. This work was supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research.

PY - 2017/6

Y1 - 2017/6

N2 - We prove that for any degree d, there exist (families of) finite sequences {lambda(k,d)} 0

AB - We prove that for any degree d, there exist (families of) finite sequences {lambda(k,d)} 0

U2 - 10.1093/imrn/rnw118

DO - 10.1093/imrn/rnw118

M3 - مقالة

SN - 1073-7928

SP - 3726

EP - 3750

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 12

ER -

A Tropical Analog of Descartes' Rule of Signs

Abstract

Access to Document

Fingerprint

Cite this