Der Satz von Hurwitz beim Jacobialgorithmus |
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Authors: | Prof Dr F Schweiger |
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Institution: | 1. Mathematisches Institut der Universit?t Salzburg, Petersbrunnstra?e 19, A-5020, Salzburg, ?sterreich
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Abstract: | Letx be a point such that its expansion by Jacobi's algorithm does not possess “Störungen” (in the sense ofPerron). Let $$F(x,g) = \frac{{A_{_0 }^{(g + n + 1)} + \sum\limits_{j = 1}^n {A_0^{(g + j)} x_j^{(g)} } }}{{A_{_0 }^{(g + 1)} }}$$ and let ξ>1 satisfy ξn+1=ξn+1. Then at least one of 2n+1 consecutive values of g satisfiesF(x,g) > ξn+nξn?1. |
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