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Eine asymptotische Formel für Potenzsummen komplexer Linearformen. (German) Zbl 0031.34804


MSC:

11J13 Simultaneous homogeneous approximation, linear forms
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References:

[1] k Körper der rationalen Zahlen.
[2] K. Mahler, On lattice points in the domain |xy|, \(|x + y| \leqq \sqrt 5 \) and applications to asymptotie formulae in lattice point theory (II). Proceedings of the Cambridge Phil. Soc. 40, S. 116.
[3] O. Perron, Über die Approximation einer komplexen Zahl durch Zahlen des Körpers (i). Math. Annalen 103, S. 535–541. · JFM 56.0896.02
[4] Die letzte Behauptung findet sich in 3) nicht explizit, kann aber den dortigen Entwicklungen entnommen werden.
[5] Perron, Math. Zeitschrift, Bd. 36, S. 148.
[6] Es sei jetztx irgend eine positive reelle Zahl.
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