Betti numbers of congruence groups |
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| Authors: | Peter Sarnak Scot Adams Ze'ev Rudnick |
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| Affiliation: | 1. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA
2. Department of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA
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| 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. |
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