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Permanent of the symmetric group
Let $A$ be the algebra corresponding to a representation-finite block of a Schur algebra.
See for example 6.1. of https://arxiv.org/pdf/1607.05965.pdf for quiver and relations and some relevance of ...
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On an asymptotic formula of Keating and Snaith involving the Riemann zeta function
Keating and Snaith have a famous conjecture on the asymptotics of the
integral $\int_0^T |\zeta(\frac 12+it)|^{2k}\, dt$, where $\zeta$
denotes the Riemann zeta function. See page 510 of the book ...