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Generalizing the results of Bringmann, Guerzhoy, Kent and Ono, we investigate mock modular period polynomials associated to harmonic Maass forms for Γ+0 (p). In particular, using period relations generated from the period polynomials, we derive congruence relations involving the critical values of modular L-functions and show that these congruence relations are indeed equalities by using integral representations of nonholomorphic parts of harmonic Maass forms.

Mock modular period functions and $L$-functions of cusp forms in higher level cases