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Titlebook: Binary Quadratic Forms; Classical Theory and Duncan A. Buell Book 1989 Springer-Verlag New York Inc. 1989 Arithmetic.Finite.algebra.calculu

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Miscellaneous Facts, ambiguous forms. Thus, the groups for discriminants −39, −55, −63, −155, −56, −68, and −80 are cyclic, while the groups of discriminants −84 and −96 are not. The structure of these groups then determines the multiplication table completely.
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https://doi.org/10.1007/978-3-531-90181-7ote that the choice of .′ is not unique, but that different values of . differ by multiples of 2., and thus the different choices lead to equivalent forms. That is, modulo 2., a unique . is determined from (.,.) such that
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Internationale Politik studierenFor the benefit of less experienced readers, we repeat some basic definitions of abstract algebra. A . is a pair (., +.) in which . is a set and +. is a closed associative binary operation on . for which the following hold:
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https://doi.org/10.1007/978-3-531-90722-2In the opening paragraphs of Article 329 of the ., Gauss, a master at calculating, writes [pp. 396–397],
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