单词 | Fundamental Theorem of Genera |
释义 | Fundamental Theorem of GeneraConsider proper equivalence classes of forms with discriminant equal to the field discriminant, then they can besubdivided equally into genera of forms which form a subgroup of the proper equivalence class groupunder composition (Cohn 1980, p. 224), where is the number of distinct prime divisors of . This theorem was proved byGauß in 1801.
Arno, S.; Robinson, M. L.; and Wheeler, F. S. ``Imaginary Quadratic Fields with Small Odd Class Number.'' http://www.math.uiuc.edu/Algebraic-Number-Theory/0009/. Cohn, H. Advanced Number Theory. New York: Dover, 1980. Gauss, C. F. Disquisitiones Arithmeticae. New Haven, CT: Yale University Press, 1966. |
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