4 problems

Let $\mathfrak{O}$ be the coefficient ring, let $A$ be an $n$-dimensional nilpotent $\mathfrak{O}$-algebra, and write $\zeta_A(t)$ and $\zeta^{\lhd}_A(t)$ for its subalgebra and id…

Degree and limiting-value conjecture. If $({\mathcal{L}},{\mathcal{E}})$ is almost uniform, so that…

Let $\cA$ be a nilpotent $\fo$-algebra that is free of rank $d$ as an $\fo$-module, where $\fo$ is the ring of integers in a number field $k$. Let $K\supset k$ be a $p$-adic field…

Let $\cA$ be a Lie algebra or a non-unital associative $\fo$-algebra, free of rank $d$ as an $\fo$-module, where $\fo$ is the ring of integers in a number field $k$, and suppose th…