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One-sided power sum and cosine inequalities

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1-s2.0-S0019357712001243-main.pdf (168.78 KB)

Publication date

2013-03

Authors

Beukers, FritsISNI 0000000350610029
Tijdeman, R.

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DOI

https://doi.org/10.1016/j.indag.2012.11.009

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Article

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Abstract

In this note we prove results of the following types. Let be given distinct complex numbers satisfying the conditions for and for every there exists an such that . Then If, moreover, none of the ratios with is a root of unity, then The constant −1 in the former result is the best possible. The above results are special cases of upper bounds for obtained in this paper.

Keywords

Power sums, One-sided inequality, Sums of cosines, Littlewood conjecture, Multistep methods, Taverne

Citation

Beukers, F & Tijdeman, R 2013, 'One-sided power sum and cosine inequalities', Indagationes Mathematicae, vol. 24, no. 2, pp. 373-381. https://doi.org/10.1016/j.indag.2012.11.009

URI

https://dspace.library.uu.nl/handle/1874/290169