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单词 Fundamental Theorem of Genera
释义

Fundamental Theorem of Genera

Consider 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.


References

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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