A note on the real densities of homogeneous systems in function fields

Let Fq((1/t))Fq((1/t)) denote the field of formal power series in 1/t1/t over the finite field FqFq of q   elements. In this paper, we prove the existence of the real densities of certain homogeneous systems in Fq((1/t))Fq((1/t)). In addition, we show that the real density of a system is equal to the corresponding singular integral.