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THIN ADDITIVE BASES FOR MONIC POLYNOMIALS IN Fq[t]

  • Bender, Andreas O. (Pohang Mathematics Institute Pohang University of Science and Technology) ;
  • Im, Bo-Hae (Department of Mathematics Chung-Ang University) ;
  • Lee, Yoonjin (Department of Mathematics Ewha Womans University)
  • Received : 2011.02.23
  • Published : 2013.03.31

Abstract

We explicitly construct a thin basis for the set $\mathbf{M}$ of monic polynomials in one variable $t$ over a finite field ${\mathbb{F}}_q$.

Keywords

References

  1. G. W. Effinger, K. Hicks, and G. Mullen, Integers and polynomials: comparing the close cousins Z and ${\mathbb{F}}_{q}$[x], Math. Intelligencer 27 (2005), no. 2, 26-34.
  2. X.-D. Jia, Thin bases for finite abelian groups, J. Number Theory 36 (1990), no. 2, 254-256. https://doi.org/10.1016/0022-314X(90)90077-5
  3. M. B. Nathanson, Cassels bases, In 'Additive Number Theory', Festschrift in honor of the sixtieth birthday of Melvyn B Nathanson. David Chudnovsky and Gregory Chudnovsky, editors. Springer-Verlag New York, 2010. Also available from http://arxiv.org/abs/0905.3144.
  4. D. Raikov, Uber die Basen der naturlichen Zahlenreihe, Mat. Sbornik N.S. 44 (1937), no. 2, 595-597.
  5. H. Rohrbach, Ein Beitrag zur additiven Zahlentheorie, Math. Z. 42 (1937), no. 1, 1-30. https://doi.org/10.1007/BF01160061
  6. A. Stohr, Eine Basis h-ter Ordnung fur die Menge aller naturlichen Zahlen, Math. Z. 42 (1937), no. 1, 739-743. https://doi.org/10.1007/BF01160108