Salem numbers with minimal trace

DOI10.1090/mcom/3833OpenAlexW4319736437MaRDI QIDQ5886875

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Publication date: 11 April 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3833

zbMATH Keywords

LLL algorithmChebyshev polynomialsemi-infinite linear programmingSalem numberexplicit auxiliary functioninteger transfinite diameter

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Algebraic number theory computations (11Y40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Unnamed Item
• Computational excursions in analysis and number theory
• Totally positive algebraic integers of small trace
• Salem numbers of trace -2, and a conjecture of Estes and Guralnick
• Factoring polynomials with rational coefficients
• Finding all Salem numbers of trace \(-1\) and degree up to 20
• Linear relations with conjugates of a Salem number
• A salem number with degree 34 and trace -3
• Trace of totally positive algebraic integers and integer transfinite diameter
• The trace problem for totally positive algebraic integers
• Computing totally positive algebraic integers of small trace
• THE TRACE PROBLEM FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS
• The absolute trace of totally positive algebraic integers
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• On the linear independence measure of logarithms of rational numbers
• The integer Chebyshev problem
• Salem numbers of negative trace
• Totally positive algebraic integers with small trace
• Finding Degree-16 Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods
• On the lines passing through two conjugates of a Salem number
• Algorithmic Number Theory

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