For a form 
,
the generic character 
of 
is defined as the values of 
where 
and 
represents 
: 
, 
, ..., 
(Cohn 1980, p. 223). The characters apply to the
class of properly equivalent forms as they represent the same numbers.
Generic Character
See also
Form GenusExplore with Wolfram|Alpha
References
Cohn, H. "Compositions, Order, and Genera." Ch. 8 in Advanced Number Theory. New York: Dover, 1980.Referenced on Wolfram|Alpha
Generic CharacterCite this as:
Weisstein, Eric W. "Generic Character." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GenericCharacter.html