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Feb 4, 2016 at 15:50 comment added WKC That Kneser's paper is ``Klassenzahlen definiter quadratischen Formen", Arch. Math. (1957), 241-250. Kneser did more than sums of squares in that paper. As for Jones, I believe what he did is using Hermite's bound (and a sharper inequality) to deduce that $I_n$ is alone in its genus for $n \leq 7$.
Feb 4, 2016 at 15:01 comment added David Treumann Thanks for the O'Meara reference. The last footnote on the last page, referring to that Kneser work, is: "See M. Kneser (1957). For an example of the classical approach using 'reduction theory' we refer to BW Jones (1950)." I'd be interested to find out what O'M means, but I didn't find the Jones book yet.
S Feb 4, 2016 at 7:56 history suggested CommunityBot CC BY-SA 3.0
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S Feb 4, 2016 at 7:56
Feb 4, 2016 at 7:31 history answered WKC CC BY-SA 3.0