Hyperbolic lattice-point counting and modular symbols

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Hyperbolic lattice-point counting and modular symbols. / N. Petridis, Yiannis; Risager, Morten S.

I: Journal de Theorie des Nombres de Bordeaux, Bind 21, Nr. 3, 2009, s. 719-732.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

N. Petridis, Y & Risager, MS 2009, 'Hyperbolic lattice-point counting and modular symbols', Journal de Theorie des Nombres de Bordeaux, bind 21, nr. 3, s. 719-732.

APA

N. Petridis, Y., & Risager, M. S. (2009). Hyperbolic lattice-point counting and modular symbols. Journal de Theorie des Nombres de Bordeaux, 21(3), 719-732.

Vancouver

N. Petridis Y, Risager MS. Hyperbolic lattice-point counting and modular symbols. Journal de Theorie des Nombres de Bordeaux. 2009;21(3):719-732.

Author

N. Petridis, Yiannis ; Risager, Morten S. / Hyperbolic lattice-point counting and modular symbols. I: Journal de Theorie des Nombres de Bordeaux. 2009 ; Bind 21, Nr. 3. s. 719-732.

Bibtex

@article{795e4cc0ddc211ddb5fc000ea68e967b,
title = "Hyperbolic lattice-point counting and modular symbols",
abstract = "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.",
author = "{N. Petridis}, Yiannis and Risager, {Morten S.}",
note = "Keywords: math.NT; 11F67 (Primary); 11F72, 11M36 (Secondary)",
year = "2009",
language = "English",
volume = "21",
pages = "719--732",
journal = "Journal de Theorie des Nombres de Bordeaux",
issn = "1246-7405",
publisher = "Universite de Bordeaux I Centre de Recherces en Mathematiques",
number = "3",

}

RIS

TY - JOUR

T1 - Hyperbolic lattice-point counting and modular symbols

AU - N. Petridis, Yiannis

AU - Risager, Morten S.

N1 - Keywords: math.NT; 11F67 (Primary); 11F72, 11M36 (Secondary)

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

M3 - Journal article

VL - 21

SP - 719

EP - 732

JO - Journal de Theorie des Nombres de Bordeaux

JF - Journal de Theorie des Nombres de Bordeaux

SN - 1246-7405

IS - 3

ER -

ID: 9592815