Fundamental Theorem of Genera
المؤلف:
Cohn, H
المصدر:
Advanced Number Theory. New York: Dover, 1980
الجزء والصفحة:
...
31-12-2019
1053
Fundamental Theorem of Genera
Consider 
proper equivalence classes of forms with discriminant 
equal to the field discriminant, then they can be subdivided equally into 
genera of 
forms which form a subgroup of the proper equivalence class group under composition (Cohn 1980, p. 224), where 
is the number of distinct prime divisors of 
. This theorem was proved by Gauss 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.
0
0
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
