Distribution of modular symbols for compact surfaces

Details Distribution of modular symbols for compact surfaces Distribution of modular symbols for compact surfaces

2003-08-06

arxiv.org/abs/math/0308052v1

Mathematics

Number Theory

25 pages

Scientific paper

We prove that the modular symbols appropriately normalized and ordered have
an asymptotical normal distribution for all cocompact subgroups of SL_2(R). We
introduce hyperbolic Eisenstein series in order to calculate the moments of the
modular symbols.

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