Modular symbols have a normal distribution

Details Modular symbols have a normal distribution Modular symbols have a normal distribution

2003-08-13

arxiv.org/abs/math/0308120v1

Mathematics

Number Theory

32 pages

Scientific paper

We prove that the modular symbols appropriately normalized and ordered have a
Gaussian distribution for all cofinite subgroups of SL_2(R). We use spectral
deformations to study the poles and the residues of Eisenstein series twisted
by power of modular symbols.

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