Three diagonal quadratic forms
نویسندگان
چکیده
منابع مشابه
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σ1[x] · σ2[x]. Therefore, if we find s > 0 such that σ[x] < 0 for some x satisfying σ2[x]/σ1[x] = s 2, we get a contradiction with (1.1). Consider the set S ⊂ (0,∞) × (0,∞) consisting of all pairs (s, t) such that σs[x] < 0 for some x satisfying σ2[x]/σ1[x] = t 2. We want to show that (α,α) ∈ S for some α > 0, which gives us the contradiction. Since all forms are non-zero, there exist vectors x...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1973
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-23-2-137-151