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Distribution of modular symbols for compact surfaces

Morten Skarsholm Risager
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Abstract

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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Morten Skarsholm Risager. 2003-08-06. Distribution of modular symbols for compact surfaces. https://arxiv.org/abs/math/0308052

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