Hyperbolic manifolds and pseudo-arithmeticity

Vincent Emery; Olivier Mila

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arXiv · 1810.12837

Hyperbolic manifolds and pseudo-arithmeticity

Vincent Emery·Olivier Mila

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Abstract

We introduce and motivate a notion of pseudo-arithmeticity, which possibly applies to all lattices in $\mathrm{PO}(n,1)$ 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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Vincent Emery, Olivier Mila. 2018-10-30. Hyperbolic manifolds and pseudo-arithmeticity. https://arxiv.org/abs/1810.12837

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