The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces

Details The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces

2003-11-02

arxiv.org/abs/math/0311010v3

Mathematics

Number Theory

15 pages, To appear in Crelle Journal

Scientific paper

For a cocompact group of SL_2(R) we fix a non-zero harmonic 1-form
\a. We normalize and order the values of the Poincare pairing
according to the length of the corresponding closed geodesic l(gamma). We prove
that these normalized values have a Gaussian distribution.

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