3 problems

Let $G_1$ and $G_2$ be primitive $\phi^4$ graphs, and let $c_2^{(q)}(G)$ denote the $c_2$-invariant modulo a prime power $q$. Let $\mathcal{P}(G)$ denote the Feynman period. Comple…

Let $G_1$ and $G_2$ be graphs, and for a prime power $q=p^s$ let $c_2^{(q)}(G)$ denote their $c_2$ invariants. Schnetz's prime reduction conjecture. If … for every prime $p$, then…

Let $G_1$ and $G_2$ be primitive divergent graphs, meaning that the completion of each graph is internally 6-edge connected, and let their Feynman periods be defined by the corresp…