Value sets of folding polynomials over finite fields
TURKISH JOURNAL OF MATHEMATICS, vol.43, no.3, pp.1407-1413, 2019 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 43 Issue: 3
- Publication Date: 2019
- Doi Number: 10.3906/mat-1812-64
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1407-1413
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
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.