Result: Totally positive polynomials with small length
Title:
Totally positive polynomials with small length
Authors:
Contributors:
Sac-Epee, Jean-Marc
Publisher Information:
De Gruyter (Sciendo), Warsaw, Polish Academy of Sciences (Polska Akademia Nauk - PAN), Systems Research Institute, Warsaw, 2019.
Publication Year:
2019
Subject Terms:
Document Type:
Academic journal
Article
File Description:
application/pdf; application/xml
Language:
English
Accession Number:
edsair.dedup.wf.002..04bff1e003c94574e35b64ec7c186112
Database:
OpenAIRE
Further Information
In this work we provide a list of irreducible monic polynomials with integer coefficients and lengths below 2.3679 d for a degree d polynomial. Our approach combines techniques based on auxiliary functions and mixed-integer linear programming algorithms. The list obtained shows that there are polynomials of this type up to degree 16, with the exception of degree 11 where we are very close to the threshold.