Homogeneous Problems

In Chapter 4, we discussed homogeneous minima of positive definite quadratic forms. In this chapter, we shall discuss homogeneous minima of indefinite binary quadratic forms. We define Markoff spectrum for absolute value of indefinite binary quadratic forms and determine first three minima. We also consider one-sided problem for indefinite binary quadratic forms and show that here the spectrum is not isolated. Homogeneous minimum of product of three linear forms is also obtained.