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On polynomials with integer coefficients

✍ Scribed by Hiroshi Gunji; Donald L McQuillan


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
331 KB
Volume
1
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


On polynomials with integer coefficients
✍ Hiroshi Gunji; Donald L McQuillan πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 331 KB
Integer-Valued Polynomials on a Subset
✍ CΓ‘tΓ‘lin BΓ‘rbΓ‘cioru πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 254 KB

Let R be a Dedekind domain whose residue fields are finite, and let K be the field of fractions of R. When S is a (non-empty) subset of K we write Int(S) for the subring of K[X ] consisting of all polynomials f (X ) in K[X] such that f (S ) R. We show that there exist fractional ideals J 0 , J 1 , .

On Denominators of Algebraic Numbers and
✍ Steven Arno; M.L. Robinson; Ferell S. Wheeler πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 543 KB

Let A(x)=a d x d + } } } +a 0 be the minimal polynomial of : over Z. Recall that the denominator of :, denoted den(:), is defined as the least positive integer n for which n: is an algebraic integer. It is well known that den(:)|a d . In this paper we study the density of algebraic numbers : of fixe