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Polynômes et dérivées à valeurs entières. (French) Zbl 0304.13008


MSC:

13B25 Polynomials over commutative rings
13E10 Commutative Artinian rings and modules, finite-dimensional algebras
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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References:

[1] Bourbaki , N. Algèbre commutative , Paris Hermann . · Zbl 0141.03501
[2] Brizolis , D. Ideals of Rings of Integer valued Polynomials Thèse , University of California , Los Angeles , 1973 .
[3] Cahen , P.J. Polynômes à valeurs entières . Thèse, Université de Paris XI , Orsay , 1973 . MR 309923
[4] Cahen , P.J. et Chabert , J.L. Coéfficients et valeurs d’un polynôme . Bull. Sci. Math. 95 ( 1971 ) pp. 295 - 304 . MR 296065 | Zbl 0221.13006 · Zbl 0221.13006
[5] Chabert , J.L. Anneaux de polynômes à valeurs entières et anneaux de Fatou . Bull. Soc. Math. France 99 ( 1971 ) pp. 273 - 283 . Numdam | Zbl 0202.32802 · Zbl 0202.32802
[6] Chabert , J.L. Anneaux de polynômes à valeurs entières et extensions de Fatou . Thèse, Université de Paris XI , Orsay , 1973 .
[7] Mahler , K. An interpolation series for continuous functions of a p-adic variable . J. für Reine and Angew. math. 199 ( 1958 ) pp. 23 - 34 . Article | MR 95821 | Zbl 0080.03504 · Zbl 0080.03504 · doi:10.1515/crll.1958.199.23
[8] Straus , E.G. On the Polynomials whose Derivatives have Integral Values at the Integers . Proc. A.M.S. , 2 ( 1951 ) pp. 24 - 27 . · Zbl 0043.04205 · doi:10.2307/2032614
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