Betti numbers of congruence groups

Peter Sarnak; Scot R Adams; Ze'ev Rudnick

doi:10.1007/BF02937506

Betti numbers of congruence groups

Peter Sarnak, Scot R Adams, Ze'ev Rudnick

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

It is shown that, for certain congruence families of Galois coverings of a manifold, the individual Betti numbers are polynomial periodic functions of the level. Similar results are proved for the dimensions of other spaces of automorphic forms.

Original language	English (US)
Pages (from-to)	31-72
Number of pages	42
Journal	Israel Journal of Mathematics
Volume	88
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02937506
State	Published - Oct 1 1994

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Betti numbers of congruence groups

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