3 problems

Let $f$ and $g$ be positive definite integral ternary quadratic forms, and let $n$ be a positive integer such that $n\cdot g$ is represented by $f$ and $n\cdot dg=df$. A pair…

Spinor-genus preservation conjecture. Suppose that $G_1$ and $G_2$ have exactly the same number, namely some power $2^j$, of spinor genera. Then the genus-correspondence respects s…

Spinor-genus correspondence conjecture. Suppose that $G_1$ and $G_2$ each have exactly two spinor genera. Then $G_1$ has spinor exceptional integers if and only if $G_2$ has spinor…