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Rational period functions and cycle integrals in higher level cases. (English) Zbl 1381.11029
Summary: Generalizing the results of W. Duke et al. [Abh. Math. Semin. Univ. Hamb. 80, No. 2, 255–264 (2010; Zbl 1269.11040)] we give an effective basis for the space of period polynomials in higher level cases and construct modular integrals for certain rational period functions related to indefinite binary quadratic forms by means of cycle integrals.

##### MSC:
 11F11 Holomorphic modular forms of integral weight 11F03 Modular and automorphic functions
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##### References:
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