Asymptotics of zeta determinants of Laplacians on large degree abelian covers

Nguyen Viet Dang, Jiasheng Lin, Frédéric Naud

Let $(M,g)$ be some smooth, closed, compact Riemannian manifold and $(M_N\mapsto M{)}_N$ be an increasing sequence of large degree cyclic covers of $M$ that converges when $N\rightar…