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Darstellbarkeit von ganzen Zahlen durch Quadratsummen in einigen totalreellen Zahlkörpern. (German) Zbl 0414.12007


MSC:

11R80 Totally real fields
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
11P05 Waring’s problem and variants
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References:

[1] Peters, M.: Quadratische Formen über Zahlringen. Acta arithmetica24, 157-164 (1973) · Zbl 0237.12004
[2] Peters, M.: Summen von Quadraten in Zahlringen. J. reine angew. Math.268/269, 318-323 (1974) · Zbl 0287.10034 · doi:10.1515/crll.1974.268-269.318
[3] Scharlau, R.: Zur Darstellbarkeit von totalreelen ganzen algebraischen Zahlen durch Summen von Quadraten. Dissertation, Bielefeld 1979 · Zbl 0412.10011
[4] Siegel, C.L.: Sums ofm th powers of algebraic integers. Ann. of Math.46, 313-339 (1945) · Zbl 0063.07010 · doi:10.2307/1969026
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