Betti numbers of congruence groups

Peter Sarnak; Scot Adams; Ze'ev Rudnick

doi:10.1007/BF02937506

Betti numbers of congruence groups

Peter Sarnak, Scot Adams, Ze'ev Rudnick

Mathematics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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.

Original language	English (US)
Pages (from-to)	31-72
Number of pages	42
Journal	Israel Journal of Mathematics
Volume	88
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02937506
State	Published - Oct 1994

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF02937506

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title = "Betti numbers of congruence groups",

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.",

author = "Peter Sarnak and Scot Adams and Ze'ev Rudnick",

year = "1994",

month = oct,

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AU - Adams, Scot

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JF - Israel Journal of Mathematics

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ER -

Betti numbers of congruence groups

Abstract

All Science Journal Classification (ASJC) codes

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