Linear Equations in Variables which Lie in a Multiplicative Group
نویسندگان
چکیده
منابع مشابه
Linear Equations with Unknowns from a Multiplicative Group Whose Solutions Lie in a Small Number of Subspaces
Abstract. Let K be a field of characteristic 0 and let (K) denote the n-fold cartesian product of K∗, endowed with coordinatewise multiplication. Let Γ be a subgroup of (K) of finite rank. We consider equations (*) a1x1+ · · ·+anxn = 1 in x = (x1, . . . , xn) ∈ Γ, where a = (a1, . . . , an) ∈ (K). Two tuples a,b ∈ (K) are called Γ-equivalent if there is a u ∈ Γ such that b = u · a. Győry and th...
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ژورنال
عنوان ژورنال: The Annals of Mathematics
سال: 2002
ISSN: 0003-486X
DOI: 10.2307/3062133