, Volume 88, Issue 1-3, pp 31-72

Betti numbers of congruence groups

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.