Citation
P. Sarnak et S. Adams, BETTI NUMBERS OF CONGRUENCE GROUPS, Israel Journal of Mathematics, 88(1-3), 1994, pp. 31-72
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00212172
Volume
88
Issue
1-3
Year of publication
1994
Pages
31 - 72
Database
ISI
SICI code
0021-2172(1994)88:1-3<31:BNOCG>2.0.ZU;2-B
Abstract
It is shown that, for certain congruence families of Galois coverings
df a manifold, the individual Betti numbers are polynomial periodic fu
nctions of the level. Similar results are proved for the dimensions of
other spaces of automorphic forms.