Betti numbers of congruence groups

Peter Sarnak, Scot Adams, Ze'ev Rudnick

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


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 languageEnglish (US)
Pages (from-to)31-72
Number of pages42
JournalIsrael Journal of Mathematics
Issue number1-3
StatePublished - Oct 1994

All Science Journal Classification (ASJC) codes

  • General Mathematics


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