SoYoung Choi

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

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.