Document JFM 60.0924.04

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The minimum values of positive quadratic forms in six, seven and eight variables. (English) JFM 60.0924.04

M. Z. 39, 1-15 (1934).

Verf. beweist: Das Minimum der positiv-definiten quadratischen Form mit Determinante \(1\): \[ f(x_1,x_2 \cdots x_n) = \Sigma g_{ij} x_i x_j \] (\(g_{ij}\) be;liebig reell) ist für ganzzahlige \(x_i\) in den Fällen \( n = 6,7,8\) gleich \[ \root 6 \of {\frac {64}{3}},\;\root 7 \of {64},\;2. \]

Reviewer: Kloosterman, H. D., Dr. (Leiden)

Cited in 3 Reviews

Cited in 6 Documents

JFM Section:

Zweiter Halbband. Dritter Abschnitt. Arithmetik und Algebra. Kapitel 6. Elementare Zahlentheorie.

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Full Text: DOI EuDML