Totally positive algebraic integers with small trace

DOI10.1090/mcom/3636zbMath1469.11483OpenAlexW3125917434MaRDI QIDQ4999484

Qiang Wu, Cong Wang, Jie Wu

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1090/mcom/3636

zbMATH Keywords

LLL algorithmChebyshev polynomialsemi-infinite linear programmingabsolute traceexplicit auxiliary functiontotally positive algebraic integers

Mathematics Subject Classification ID

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

Related Items (6)

Salem numbers with minimal trace ⋮ Potential energy of totally positive algebraic integers ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Algebraic integers with small potential energy ⋮ AN ANALOGUE OF THE SCHUR–SIEGEL–SMYTH TRACE PROBLEM ⋮ THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS

Cites Work

• Unnamed Item
• Unnamed Item
• The absolute trace of totally positive reciprocal algebraic integers
• Computational excursions in analysis and number theory
• Totally positive algebraic integers of small trace
• The integer Chebyshev constant of Farey intervals
• Factoring polynomials with rational coefficients
• Finding all Salem numbers of trace \(-1\) and degree up to 20
• A salem number with degree 34 and trace -3
• The trace of totally positive and real algebraic integers
• Trace of totally positive algebraic integers and integer transfinite diameter
• The smallest Perron numbers
• 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 Mean Values of Totally Real Algebraic Integers
• On the smallest value of the maximal modulus of an algebraic integer
• The Maximal Modulus of an Algebraic Integer
• 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
• Minimal Mahler Measures
• Finding Degree-16 Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods
• Algorithmic Number Theory
• Integer transfinite diameter and polynomials with small Mahler measure
• The trace of totally positive algebraic integers

This page was built for publication: Totally positive algebraic integers with small trace