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001-es BibID:	BIBFORM111798
Első szerző:	Győry Kálmán (matematikus)
Cím:	Polynomials of given discriminant and integral elements of given discriminant over integral domains / K. Győry
Dátum:	1982
ISSN:	0706-1994
Megjegyzések:	Author's summary: "Let K be an algebraic number field with ring of integers R, L a finite extension of K, and T the integral closure of R in L (i.e. the ring of integers of L). We previously proved [Acta Arith. 23 (1973), 419?426; Publ. Math. Debrecen 21 (1974), 125?144; ibid. 23 (1976), no. 1?2, 141?165; MR0428011 9abc; ibid. 25 (1978), no. 1?2, 155?167; MR0485774; Acta Math. Acad. Sci. Hungar. 32 (1978), no. 1?2, 175?190; MR0498497] that up to translation by elements of R, there are only finitely many elements in T with a given nonzero discriminant over K, and that a full set of representatives of such elements of T can be effectively determined. In this paper we present a generalization of the first part of this theorem to the case when K is an arbitrary field of finite type over Q, and R is an integrally closed subring of K of finite type over Z with quotient field K. Our result is the consequence of a theorem concerning polynomials of given discriminant. Some applications are given to integral elements of given discriminant and to discriminant form and index form equations.'' "A detailed and generalized version of this work has appeared elsewhere [the author, Publ. Math. Debrecen 29 (1982), no. 1?2, 79?94].''
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk
Megjelenés:	Comptes Rendus Mathematiques de l'Academie des Sciences la Société du Royale Canada. - 4 : 2 (1982), p. 75-80. -
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