Content deleted Content added
m →History: Typo fixing, replaced: know as → known as using AWB |
add link |
||
Line 85:
== Genera of binary quadratic forms ==
Gauss also considered a coarser notion of equivalence, with each coarse class called a '''genus''' of forms. Each genus is the union of a finite number of equivalence classes of the same discriminant, with the number of classes depending only on the discriminant. In the context of binary quadratic forms, genera can be defined either through congruence classes of numbers represented by forms or by '''genus characters''' defined on the set of forms. A third definition is a special case of the [[genus of a quadratic form]] in n variables. This states that forms are in the same genus if they are locally equivalent at all rational primes (including the
== History ==
| |||