Every Salem number is a difference of two Pisot numbers

DOI10.1017/s0013091523000433zbMath1530.11083MaRDI QIDQ6096880

Arturas Dubickas

Publication date: 15 September 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pisot numberSalem number

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Irrationality; linear independence over a field (11J72)

Cites Work

• Unnamed Item
• On multidimensional Diophantine approximation of algebraic numbers
• On the distribution of Salem numbers
• Constructions of Pisot and Salem numbers with flat palindromes
• Mahler measures generate the largest possible groups
• Bounds for the trace of small Salem numbers
• A necessary and sufficient condition for an algebraic integer to be a Salem number
• Sumsets of Pisot and Salem numbers
• Power series with integral coefficients
• Algebraic integers whose conjugates lie in the unit circle
• Salem Numbers and Pisot Numbers via Interlacing
• Salem numbers as Mahler measures of Gaussian Pisot numbers
• On Salem numbers which are Mahler measures of nonreciprocal $2$-Pisot numbers
• Pisot and Salem Numbers in Intervals of the Real Line
• THERE ARE SALEM NUMBERS OF EVERY TRACE
• Salem numbers of negative trace
• Seventy years of Salem numbers
• Salem Numbers, Pisot Numbers, Mahler Measure, and Graphs

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