Value sets of folding polynomials over finite fields

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Let k be a positive integer that is relatively prime to the order of the Weyl group of a semisimple complexLie algebra g. We find the cardinality of the value sets of the folding polynomials $P_g^k(x)inboldsymbol Zlbrack xrbrack$ of arbitrary rank $ngeq1$ over finite fields. We achieve this by using a characterization of their fixed points in terms of exponential sums.

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