Geodesic
Rational period functions of the modular group II
Glasgow mathematical journal, Tome 22 (1981) no. 2, pp. 185-197

Voir la notice de l'article provenant de la source Cambridge University Press

In the earlier article [7], I began the study of rational period functions for the modular group Γ(l) = SL(2, Z) (regarded as a group of linear fractional transformations) acting on the Riemann sphere. These are rational functions q(z) which occur in functional equations of the formwhere k∈Z and F is a function meromorphic in the upper half-plane H, restricted in growth at the parabolic cusp ∞. The growth restriction may be phrased in terms of the Fourier expansion of F(z) at ∞:with some μ∈Z. If (1.1) and (1.2) hold, then we call F a modular integral of weight 2k and q(z) the period of F. 
Knopp, Marvin I. Rational period functions of the modular group II. Glasgow mathematical journal, Tome 22 (1981) no. 2, pp. 185-197. doi: 10.1017/S0017089500004663
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