Analytic Representations in the 3-dim Frobenius Problem

نویسنده

  • Leonid G. Fel
چکیده

We consider the Diophantine problem of Frobenius for semigroup S ( d ) where d denotes the tuple (d1, d2, d3), gcd(d1, d2, d3) = 1. Based on the Hadamard product of analytic functions [17] we have found the analytic representation for the diagonal elements akk ( d ) of the Johnson’s matrix of minimal relations [12] in terms of d1, d2, d3. Bearing in mind the results of the recent paper [10] this gives the analytic representation for the Frobenius number F ( d )

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تاریخ انتشار 2008