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We present a conjectured formula for the representation zeta function of theHeisenberg group over $\mathcal{O}[x]/(x^n)$ where $\mathcal{O}$ is the ring ofintegers of some number field. We confirm the conjecture for $n\leq 3$ andraise several questions.

Representation growth of the Heisenberg group over $\mathcal{O}[x]/(x^n)$