Modular symbols have a normal distribution

Abstract

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.

32 pages

Cited by in corpus (2)

• The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
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