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On sums of two and three roots of unity

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Publication:1786687
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DOI10.1016/j.jnt.2018.03.017zbMath1447.11111OpenAlexW2802059198MaRDI QIDQ1786687

Arturas Dubickas

Publication date: 24 September 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.03.017


zbMATH Keywords

Mahler measureroots of unitysmall exponential sum


Mathematics Subject Classification ID

Cyclotomic extensions (11R18) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)


Related Items (1)

Solution counts and sums of roots of unity




Cites Work

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  • On the number of reducible polynomials of bounded naive height
  • A problem of Boyd concerning geometric means of polynomials
  • On a certain geometric mean of the values of a polynomial
  • How Small Can a Sum of Roots of Unity Be?
  • On Measures of Polynomials in Several Variables: Corrigendum
  • Two sharp inequalities for the norm of a factor of a polynomial
  • A COMBINATORIAL PROBLEM IN FINITE FIELDS, II
  • AN EFFECTIVE BOUND FOR THE CYCLOTOMIC LOXTON–KEDLAYA RANK
  • The Norm of Gaussian Periods
  • Nonreciprocal algebraic numbers of small Mahler's measure
  • A combinatorial problem related to Mahler's measure




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