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Bounds for Waring's number mod \(\mathcal P^m\) in number fields

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Publication:1762292
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DOI10.1016/J.JNT.2012.06.017zbMath1277.11095OpenAlexW1979352454MaRDI QIDQ1762292

Ala' Jamil Alnaser

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.06.017


zbMATH Keywords

number fieldslifting resultsWaring' number


Mathematics Subject Classification ID

Waring's problem and variants (11P05)





Cites Work

  • Combinational properties of sets of residues modulo a prime and the Erdős-Graham problem
  • Waring's number mod \(m\)
  • Sums of \(n\)-th powers in fields of prime characteristic
  • Sum-Product Estimates Applied to Waring's Problem over Finite Fields
  • Waring's Number in a Finite Field
  • The easier Waring problem in algebraic number fields
  • Waring's problem for p-adic number fields
  • Sums of m ‐th powers in p ‐adic rings
  • Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field
  • Numbers of solutions of equations in finite fields




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