Betti numbers of congruence groups
- Cite this article as:
- Sarnak, P., Adams, S. & Rudnick, Z. Israel J. Math. (1994) 88: 31. doi:10.1007/BF02937506
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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.