Form Genus
المؤلف:
Cohn, H.
المصدر:
"Compositions, Order, and Genera." Ch. 8 in Advanced Number Theory. New York: Dover
الجزء والصفحة:
pp. 212-230
13-8-2020
957
Form Genus
Consider the forms 
for which the generic characters 
are equal to some preassigned array of signs 
or 
,
subject to 
. There are 
possible arrays, where 
is the number of distinct prime divisors of a field discriminant 
, and the set of forms corresponding to each array is called a genus of forms. The forms for which all 
are called the principal genus of forms, and each genus is also a collection of proper equivalence classes (Cohn 1980, pp. 223-224).
REFERENCES:
Cohn, H. "Compositions, Order, and Genera." Ch. 8 in Advanced Number Theory. New York: Dover, pp. 212-230, 1980.
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