Invariants of Binary Forms Under Modular Transformations
Leonard Eugene Dickson · Transactions of the American Mathematical Society · 1907
Conforming with the relations ( \ 21 ) between the invariants of the cubic form in the GF\V\.Note that I-P+T and -A -A* are the only invariants W satisfying the relations (19) involving W. Hence there is a single invariant W which can replace T.* Those in set ( 25) and likewise the remaining ones occur approximately in the order of their determination.Obvious simplifications have been made in the latter conditions.Certain conditions, have been omitted as being simple consequenoes of those retained.* Under a transformation of determinant D, the discriminant A is multiplied by D6, so that A(»"-i)/2 is an absolute invariant in the GF[ 3" ].* Those in (64) are not required in Computing the invariants ; they were determined directly for each invariant and found to vanish, thus giving a check.* Here a more exacting condition than for d es 0. Thus Blx = maaa\ yields m = 0.