Salem numbers of negative trace

DOI10.1090/S0025-5718-99-01099-6zbMath0988.11050OpenAlexW2030909274MaRDI QIDQ4942793

Christopher J. Smyth

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01099-6

zbMATH Keywords

traceSalem numbertotally positive algebraic integers

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (12)

Salem numbers with minimal trace ⋮ THE TRACE PROBLEM FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ Beta expansion for some particular sequences of Salem numbers ⋮ Every Salem number is a difference of two Pisot numbers ⋮ Salem numbers of trace -2, and a conjecture of Estes and Guralnick ⋮ Periodic expansion of one by Salem numbers ⋮ Linear relations with conjugates of a Salem number ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ Finding all Salem numbers of trace \(-1\) and degree up to 20 ⋮ Totally positive algebraic integers with small trace ⋮ Seventy years of Salem numbers ⋮ Automorphisms of even unimodular lattices and unramified Salem numbers

Cites Work

• Totally positive algebraic integers of small trace
• Small Salem numbers
• Approximate formulas for some functions of prime numbers
• Power series with integral coefficients
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
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