Salem numbers of trace -2, and a conjecture of Estes and Guralnick

DOI10.1016/j.jnt.2015.09.019zbMath1330.11069OpenAlexW1928331044WikidataQ114157447 ScholiaQ114157447MaRDI QIDQ897551

Pavlo Yatsyna, James McKee

Publication date: 7 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.09.019

zbMATH Keywords

Salem numbersEstes-Guralnick conjectureminimal polynomial of matricestrace of algebraic integers

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (2)

Salem numbers with minimal trace ⋮ Seventy years of Salem numbers

Cites Work

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• Seventy years of Salem numbers
• Finding Degree-16 Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods
• A Note on Integer Symmetric Matrices and Mahler's Measure
• Algorithmic Number Theory
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs

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