8 citations · 12 across the 3 of their papers we have counts for
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math.NT2003★ 2 cited
Modular symbols have a normal distribution
Yiannis N. Petridis, Morten Skarsholm Risager
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…
math.NT2003★ 8 cited
Distribution of modular symbols for compact surfaces
Morten Skarsholm Risager
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 Eise…