Precise 发表于 2025-3-21 16:36:50
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Indefinite Forms,al again being the determination of canonical forms for the equivalence classes. In the case of negative discriminants, the “reduced” forms are essentially unique in a given equivalence class. For positive discriminants, however, it is not only the case that many reduced forms can lie in the same clDistribution 发表于 2025-3-22 04:02:32
The Class Group,d . exist so that . represents ., that is, . = . + . + .. This is a . if gcd(.,.) = 1. If the representation is primitive, then integers . and . exist so that . − . = 1. Then . is equivalent to a form .′ = (., ., .), where .′ is obtained from . by using the transformation . and equations (1.2). We n祖传财产 发表于 2025-3-22 05:36:42
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The 2-Sylow Subgroup,ected, in the case of positive discriminant, with the question of which discriminants Δ possess solutions of the negative Pell equation . and both questions are related for all discriminants to the existence of higher-order reciprocity laws analogous to the law of quadratic reciprocity. The connecti散开 发表于 2025-3-22 18:28:17
teenth century, as the theory of ideals and the rudiments of algebraic number theory were developed, it became clear that this theory of bi nary quadratic forms, so elementary and computationally explicit, was indeed just a special case of a much more elega,nt and abstract theory which, unfortuna让空气进入 发表于 2025-3-22 22:21:42
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Globalisierung und Weltpolitik,eger coefficients and determinant ., then the change of variables (1.1) takes a form . = (., ., .) of discriminant Δ to a form . of discriminant Δ.. In matrix notation this is . which we will write as . = R. for brevity. We shall call such a matrix . a . and shall say that . is derived from . by the transformation of determinant ..