 Valence formula for the modular group

ID: valence-formula-for-the-modular-group

f

k

v_{\infty} (f) + \frac{1}{2} v_{i} (f) + \frac{1}{3} v_{ρ} (f) + \sum_{z \neq = i, ρ} v_{z} (f) = \frac{k}{12}, ρ = e^{2 πi /3},

where the sum takes one representative from each modular-group orbit.

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