Israel Journal of Mathematics

, Volume 88, Issue 1, pp 31–72

Betti numbers of congruence groups


DOI: 10.1007/BF02937506

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


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.

Copyright information

© Hebrew University 1994

Authors and Affiliations

  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsUniversity of MinnesotaMinneapolisUSA

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