Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill

Swati Bhardwaj, Leetika Kathuria, Madhu Raka

Let $Q(x_1,\cdots ,x_n)$ be a real indefinite quadratic form of the type $(r,s)$, $n=r+s$, signature $\sigma =r-s$ and determinant $D\ne 0$. Let ${\Gamma }_{r,n-r}$ denote the infimum of all nu…