2 problems

Let $L$ be a quadratic lattice and let $\nu\in\mathbb{Q}L$. Define the proper spinor-genus theta series by … where the sum is over representatives of the proper classes in the prop…

Let $L=M\oplus N$ be a quadratic lattice, where $M$ is spanned by $(e_1,\ldots,e_{n-d})$ and $N$ by $(e_{n-d+1},\ldots,e_n)$. Let $L'=M'\oplus N$ be a lattice containing $L$ in…