Bases for integer-valued polynomials in a Galois field
Vichian Laohakosol
Acta Arithmetica, Tome 84 (1998), p. 13-26 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207202
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     author = {Vichian Laohakosol},
     title = {Bases for integer-valued polynomials in a Galois field},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {13-26},
     zbl = {0923.11164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p13bwm}
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Vichian Laohakosol. Bases for integer-valued polynomials in a Galois field. Acta Arithmetica, Tome 84 (1998) pp. 13-26. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p13bwm/

[000] [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. | Zbl 0332.10035

[001] [2] L. Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), 137-168. | Zbl 0012.04904

[002] [3] L. Carlitz, A set of polynomials, Duke Math. J. 6 (1940), 486-504.

[003] [4] L. Carlitz, Finite sums and interpolation formulas over GF[pn,x], Duke Math. J. 15 (1948), 1001-1012. | Zbl 0032.00303

[004] [5] L. Carlitz, A note on integral-valued polynomials, Indag. Math. 21 (1959), 294-298.

[005] [6] L. Comtet, Advanced Combinatorics, Reidel, Dordrecht, 1974.

[006] [7] N. G. de Bruijn, Some classes of integer-valued functions, Indag. Math. 17 (1955), 363-367. | Zbl 0067.27301

[007] [8] R. R. Hall, On pseudo-polynomials, Mathematika 18 (1971), 71-77. | Zbl 0226.10019

[008] [9] V. Laohakosol and P. Ubolsri, A short note on integral-valued polynomials, Southeast Asian Bull. Math. 4 (1980), 43-47. | Zbl 0451.10038

[009] [10] W. Narkiewicz, Polynomial Mappings, Lecture Notes in Math. 1600, Springer, Berlin, 1995.

[010] [11] G. Pólya and G. Szegő, Problems and Theorems in Analysis, Vol. II, Springer, New York, 1976. | Zbl 0338.00001

[011] [12] E. G. Straus, On the polynomials whose derivatives have integral values at the integers, Proc. Amer. Math. Soc. 2 (1951), 24-27. | Zbl 0043.04205

[012] [13] C. G. Wagner, Linear operators in local fields of prime characteristic, J. Reine Angew. Math. 251 (1971), 153-160. | Zbl 0226.12105

[013] [14] C. G. Wagner, Interpolation series for continuous functions on π-adic completions of GF(q,x), Acta Arith. 17 (1971), 389-406.

[014] [15] C. G. Wagner, Interpolation series in local fields of prime characteristic, Duke Math. J. 39 (1972), 203-210. | Zbl 0237.12104

[015] [16] C. G. Wagner, Linear pseudo-polynomials over GF[q,x], Arch. Math. (Basel) 25 (1974), 385-390. | Zbl 0302.12013

[016] [17] C. G. Wagner, Polynomials over GF(q,x) with integral-valued differences, Arch. Math. (Basel) 27 (1976), 495-501. | Zbl 0341.12008