대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권2호
  • /
  • Pages.171-180
  • /
  • 2009
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

PERMUTATION FUNCTIONS ARISING FROM INTERPOLATIONS

  • 발행 : 2009.04.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we give three criteria for non-polynomial functions interpolated from the set of univariate polynomials of degree less than m over a finite field to be a permutation on the same set.

키워드

참고문헌

  1. L. Carlitz, A set of polynomials, Duke Math. J. 6 (1940), 486–504 https://doi.org/10.1215/S0012-7094-40-00639-1
  2. K. Conrad, The digit principle, J. of Number Theory 84 (2000), 230–257 https://doi.org/10.1006/jnth.2000.2507
  3. D. Goss, Basic Structures of Function Field Arithmetic, Springer, Berlin, 1996
  4. C. Hermite, Sur les fonctions de sept letters, C. R. Acad. Sci. Paris 57 (1863), 750–757, Oeuvres, Vol.2, 280–288, Gauthier-Villars, Paris, 1908
  5. S. Jeong, Hyperdifferential operators and continuous functions on function fields, J. of Number Theory 89 (2001), 165–178 https://doi.org/10.1006/jnth.2000.2629
  6. S. Jeong, Am-Permutation Polynomials, J. Aust. Math. Soc. 80 (2006), 149–158 https://doi.org/10.1017/S1446788700013033
  7. R. Lidl and H. Niederreiter, Finite fields, Encyclopedia Math. Appl. Vol. 20, Addison-Wesley, Reading, Mass 1983