No two non-real conjugates of a Pisot number have the same imaginary part

DOI10.1090/mcom/3103zbMath1361.11062OpenAlexW2336537202MaRDI QIDQ2953214

Kevin G. Hare, Jonas Jankauskas, Arturas Dubickas

Publication date: 4 January 2017

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

Full work available at URL: https://semanticscholar.org/paper/160d4e46364b4237d30ad0c05d29c165e4b6a6c0

zbMATH Keywords

linear relationsPisot numberconjugates of algebraic integers

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (5)

Unnamed Item ⋮ Linear relations with conjugates of a Salem number ⋮ Certain inequalities connected with the golden ratio and the Fibonacci numbers ⋮ Implicit solution of 1D nonlinear porous medium equation using the four-point Newton-EGMSOR iterative method ⋮ Unnamed Item

Uses Software

• FLINT

Cites Work

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• Pisot numbers in the neighbourhood of a limit point. I
• A result of Schinzel
• Asymmetric tent map expansions. II: Purely periodic points
• On the degree of a linear form in conjugates of an algebraic number
• Dom Hans Van der Laan and the plastic number
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Algebraic integers whose conjugates lie in the unit circle
• Lower bounds of heights of points on hypersurfaces
• The Mahler measure of algebraic numbers: a survey
• Pisot Numbers in the Neighborhood of a Limit Point. II
• Lower bounds on the projective heights of algebraic points
• Conjugate algebraic numbers on conics
• Pisot and Salem Numbers in Intervals of the Real Line
• There are Only Eleven Special Pisot Numbers
• Asymmetric Tent Map Expansions. I. Eventually Periodic Points
• On the product of the conjugates outside the unit circle of an algebraic number
• Seventy years of Salem numbers
• On the product of heights of algebraic numbers summing to real numbers
• On the lines passing through two conjugates of a Salem number
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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