Value sets of folding polynomials over finite fields

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KÜÇÜKSAKALLI Ö.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.3, ss.1407-1413, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1812-64
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1407-1413
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let k be a positive integer that is relatively prime to the order of the Weyl group of a semisimple complex Lie algebra g. We find the cardinality of the value sets of the folding polynomials P-g(k)(x) is an element of Z[x] of arbitrary rank n >= 1, over finite fields. We achieve this by using a characterization of their fixed points in terms of exponential sums.