Hyperbolic manifolds and pseudo-arithmeticity

Emery, Vincent; Mila, Olivier

doi:10.1090/btran/48

Hyperbolic manifolds and pseudo-arithmeticity
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by Vincent Emery and Olivier Mila HTML | PDF

Trans. Amer. Math. Soc. Ser. B 8 (2021), 277-295

Abstract:

We introduce and motivate a notion of pseudo-arithmeticity, which possibly applies to all lattices in $\operatorname {PO}(n,1)$ with $n>3$. We further show that under an additional assumption (satisfied in all known cases), the covolumes of these lattices correspond to rational linear combinations of special values of $L$-functions.

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