ArticleOriginal scientific text

Title

Bases for integer-valued polynomials in a Galois field

Authors 1

Affiliations

  1. Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand

Keywords

integer-valued polynomials, Galois field

Bibliography

  1. D. Brizolis and E. G. Straus, A basis for the ring of doubly integer-valued polynomials, J. Reine Angew. Math. 286/287 (1976), 187-195.
  2. L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137-168.
  3. L. Carlitz, A set of polynomials, Duke Math. J. 6 (1940), 486-504.
  4. L. Carlitz, Finite sums and interpolation formulas over GF[pn,x], Duke Math. J. 15 (1948), 1001-1012.
  5. L. Carlitz, A note on integral-valued polynomials, Indag. Math. 21 (1959), 294-298.
  6. L. Comtet, Advanced Combinatorics, Reidel, Dordrecht, 1974.
  7. N. G. de Bruijn, Some classes of integer-valued functions, Indag. Math. 17 (1955), 363-367.
  8. R. R. Hall, On pseudo-polynomials, Mathematika 18 (1971), 71-77.
  9. V. Laohakosol and P. Ubolsri, A short note on integral-valued polynomials, Southeast Asian Bull. Math. 4 (1980), 43-47.
  10. W. Narkiewicz, Polynomial Mappings, Lecture Notes in Math. 1600, Springer, Berlin, 1995.
  11. G. Pólya and G. Szegő, Problems and Theorems in Analysis, Vol. II, Springer, New York, 1976.
  12. E. G. Straus, On the polynomials whose derivatives have integral values at the integers, Proc. Amer. Math. Soc. 2 (1951), 24-27.
  13. C. G. Wagner, Linear operators in local fields of prime characteristic, J. Reine Angew. Math. 251 (1971), 153-160.
  14. C. G. Wagner, Interpolation series for continuous functions on π-adic completions of GF(q,x), Acta Arith. 17 (1971), 389-406.
  15. C. G. Wagner, Interpolation series in local fields of prime characteristic, Duke Math. J. 39 (1972), 203-210.
  16. C. G. Wagner, Linear pseudo-polynomials over GF[q,x], Arch. Math. (Basel) 25 (1974), 385-390.
  17. C. G. Wagner, Polynomials over GF(q,x) with integral-valued differences, Arch. Math. (Basel) 27 (1976), 495-501.
Pages:
13-26
Main language of publication
English
Received
1997-09-30
Accepted
1998-04-24
Published
1998
Exact and natural sciences