Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SUMS OF (pr + 1)-TH POWERS IN THE POLYNOMIAL RING Fpm[T]

  • Car, Mireille (Amu, Case Cour A Avenue Escadrille Normandie-Niemen)
  • Received : 2010.11.26
  • Published : 2012.11.01
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Abstract

Let $p$ be an odd prime number and let F be a finite field with $p^m$ elements. We study representations and strict representations of polynomials $M{\in}F$[T] by sums of ($p^r$ + 1)-th powers. A representation $$M=M_1^k+{\cdots}+M_s^k$$ of $M{\in}F$[T] as a sum of $k$-th powers of polynomials is strict if $k$ deg $M_i<k$ + degM.

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References

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