On polynomials with integer coefficients
β Scribed by Hiroshi Gunji; Donald L McQuillan
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 331 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 , .
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