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- W1970567241 abstract "Abstract For a polynomial f(x) over a finite field F q , denote the polynomial f(y)−f(x) by ϕ f (x, y). The polynomial ϕ f has frequently been used in questions on the values of f . The existence is proved here of a polynomial F over F q of the form F = L r , where L is an affine linearized polynomial over F q , such that f = g(F) for some polynomial g and the part of ϕ f which splits completely into linear factors over the algebraic closure of F q is exactly φ F . This illuminates an aspect of work of D. R. Hayes and Daqing Wan on the existence of permutation polynomials of even degree. Related results on value sets, including the exhibition of a class of permutation polynomials, are also mentioned." @default.
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- W1970567241 date "1990-10-01" @default.
- W1970567241 modified "2023-10-16" @default.
- W1970567241 title "The factorable core of polynomials over finite fields" @default.
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