POSITIVE DEFINITE HERMITIAN FORMS OVER IMAGINARY QUADRATIC FIELDS

The theory of integral Hermitian forms over algebraic number fields not only has connections with many branches of mathematics such as number theory, geometry of numbers, Lie theory and algebraic geometry but also has applications in some subjects such as code theory. Many papers dealt with such subject. Recently we generalize Kneser’s neighbor-lattice method to imaginary quadratic fields and develop a method to determine the class numbers and the representative forms of modular lattices (especially the unimodular lat-