Bases for integer-valued polynomials in a Galois field

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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 $GF[p^n,x]$, 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