Hyperbolic lattice-point counting and modular symbols
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
For a cocompact group $\G$ of $\slr$ we fix a real non-zero harmonic 1-form $\alpha$. We study the asymptotics of the hyperbolic lattice-counting problem for $\G$ under restrictions imposed by the modular symbols $\modsym{\gamma}{\a}$. We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
Originalsprog | Engelsk |
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Tidsskrift | Journal de Theorie des Nombres de Bordeaux |
Vol/bind | 21 |
Udgave nummer | 3 |
Sider (fra-til) | 719-732 |
Antal sider | 14 |
ISSN | 1246-7405 |
Status | Udgivet - 2009 |
ID: 9592815