Hyperbolic lattice-point counting and modular symbols
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal de Theorie des Nombres de Bordeaux |
Volume | 21 |
Issue number | 3 |
Pages (from-to) | 719-732 |
Number of pages | 14 |
ISSN | 1246-7405 |
Publication status | Published - 2009 |
Bibliographical note
Keywords: math.NT; 11F67 (Primary); 11F72, 11M36 (Secondary)
ID: 9592815