Bounds for the trace of small Salem numbers

V. Flammang

doi:10.1216/RMJ-2019-49-2-493

Abstract

We give upper and lower bounds for the trace of a Salem number whose Mahler measure is less than 1.3. We use the method of explicit auxiliary functions, combined with a recursive algorithm developed by the author.

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V. Flammang. "Bounds for the trace of small Salem numbers." Rocky Mountain J. Math. 49 (2) 493 - 504, 2019. https://doi.org/10.1216/RMJ-2019-49-2-493

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Received: 9 August 2018; Revised: 27 August 2018; Published: 2019

First available in Project Euclid: 23 June 2019

zbMATH: 07079980

MathSciNet: MR3973236

Digital Object Identifier: 10.1216/RMJ-2019-49-2-493

Subjects:

Primary: 11C08 , 11R06 , 11Y40

Keywords: recursive algorithm , Salem numbers , Trace

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