Bases for integer-valued polynomials in a Galois field

Vichian Laohakosol

Acta Arithmetica (1998)

  • Volume: 87, Issue: 1, page 13-26
  • ISSN: 0065-1036

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Vichian Laohakosol. "Bases for integer-valued polynomials in a Galois field." Acta Arithmetica 87.1 (1998): 13-26. <http://eudml.org/doc/207202>.

@article{VichianLaohakosol1998,
author = {Vichian Laohakosol},
journal = {Acta Arithmetica},
keywords = {integer-valued polynomials; Galois field; bases; integer-valued polynomial},
language = {eng},
number = {1},
pages = {13-26},
title = {Bases for integer-valued polynomials in a Galois field},
url = {http://eudml.org/doc/207202},
volume = {87},
year = {1998},
}

TY - JOUR
AU - Vichian Laohakosol
TI - Bases for integer-valued polynomials in a Galois field
JO - Acta Arithmetica
PY - 1998
VL - 87
IS - 1
SP - 13
EP - 26
LA - eng
KW - integer-valued polynomials; Galois field; bases; integer-valued polynomial
UR - http://eudml.org/doc/207202
ER -

References

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  1. [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. Zbl0332.10035
  2. [2] L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137-168. Zbl0012.04904
  3. [3] L. Carlitz, A set of polynomials, Duke Math. J. 6 (1940), 486-504. 
  4. [4] L. Carlitz, Finite sums and interpolation formulas over G F [ p n , x ] , Duke Math. J. 15 (1948), 1001-1012. Zbl0032.00303
  5. [5] L. Carlitz, A note on integral-valued polynomials, Indag. Math. 21 (1959), 294-298. 
  6. [6] L. Comtet, Advanced Combinatorics, Reidel, Dordrecht, 1974. 
  7. [7] N. G. de Bruijn, Some classes of integer-valued functions, Indag. Math. 17 (1955), 363-367. Zbl0067.27301
  8. [8] R. R. Hall, On pseudo-polynomials, Mathematika 18 (1971), 71-77. Zbl0226.10019
  9. [9] V. Laohakosol and P. Ubolsri, A short note on integral-valued polynomials, Southeast Asian Bull. Math. 4 (1980), 43-47. Zbl0451.10038
  10. [10] W. Narkiewicz, Polynomial Mappings, Lecture Notes in Math. 1600, Springer, Berlin, 1995. 
  11. [11] G. Pólya and G. Szegő, Problems and Theorems in Analysis, Vol. II, Springer, New York, 1976. Zbl0338.00001
  12. [12] E. G. Straus, On the polynomials whose derivatives have integral values at the integers, Proc. Amer. Math. Soc. 2 (1951), 24-27. Zbl0043.04205
  13. [13] C. G. Wagner, Linear operators in local fields of prime characteristic, J. Reine Angew. Math. 251 (1971), 153-160. Zbl0226.12105
  14. [14] C. G. Wagner, Interpolation series for continuous functions on π-adic completions of GF(q,x), Acta Arith. 17 (1971), 389-406. 
  15. [15] C. G. Wagner, Interpolation series in local fields of prime characteristic, Duke Math. J. 39 (1972), 203-210. Zbl0237.12104
  16. [16] C. G. Wagner, Linear pseudo-polynomials over GF[q,x], Arch. Math. (Basel) 25 (1974), 385-390. Zbl0302.12013
  17. [17] C. G. Wagner, Polynomials over GF(q,x) with integral-valued differences, Arch. Math. (Basel) 27 (1976), 495-501. Zbl0341.12008

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