Arithmetical Applications of an Identity for the Vandermonde Determinant
نویسنده
چکیده
When {α i } 1≤i≤m is a sequence of distinct non-zero elements of an integral domain A and γ is a common multiple of the α i in A we obtain, by means of a simple identity for the Vandermonde determinant, a lower bound for sup 1≤i<j≤m φ(α i − α j) in terms of φ(γ), where φ is a function from the nonzero elements of A to R + satisfying certain natural conditions. We describe several applications of this bound.
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تاریخ انتشار 2007