Polynomials and binary forms with given discriminant
by
Kálmán Gyory
Institute of Mathematics, University of Debrecen, 4010 Debrecen, Hungary

Many problems can be reduced to the study of monic polynomials / binary forms with coefficients in R and with given non-zero discriminant, where R is the ring of integers of a number field K. The monic polynomials F, F ^* in R[x] are called equivalent if F ^* (x)=F(x+a) for some a in R. Further, the binary forms F, F ^* with coefficients in R are said to be equivalent if F ^* (x, y)=F(ax+by, cx+dy) with some

Date received: April 27, 2004