3 problems

Converse parity conjecture. If $\delta_{n-q,n}$ is odd, then

Let $f_{\mathbb N,2}(n)$ denote the number of binary partitions of $n$, and let $\nu_2(m)$ denote the largest power of $2$ dividing $m$. Churchhouse's conjecture. For every even in…

Let $f_{\mathbb N,2}(n)$ denote the number of binary partitions of $n$, and let $\nu_2(m)$ denote the largest power of $2$ dividing $m$. Churchhouse's conjecture. For $n\geq 2$,…