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On positive integers representable as a sum of three squares. (English) Zbl 0623.10034

Journées arithmétiques, Besançon/France 1985, Astérisque 147/148, 259-263 (1987).
[For the entire collection see Zbl 0605.00004.]
The author states in this talk the main result of her thesis (Universitat de Barcelona, 1985). Proofs are only sketched. For the complete results see [Acta Arith. 51, No. 2, 131–140 (1988; Zbl 0663.10050)] and J. Number Theory 27, 273–284 (1987; Zbl 0623.10035). A misprint in Theorem 4 should be corrected: The integer \(n=n_0\) must be replaced by \(n=n_0s^2\).

MSC:

11P05 Waring’s problem and variants
11F11 Holomorphic modular forms of integral weight
11E12 Quadratic forms over global rings and fields