2 problems

Let $(\cdot,\cdot)$ be a positive-definite quadratic form of integral coefficients in $r$ variables, let $B$ be a bounded region in $\mathbb{R}^r$, and let $I$ be a bounded interva…

Let ${{\mathbb C}}o^2=\\{(\xi_1,\xi_2,\sqrt{\xi_1^2+\xi_2^2}):1\leq \xi_1^2+\xi_2^2\leq 2\\}$ be the truncated cone, and let $\Gamma(\delta)$ partition its $\delta$-neighborhood in…