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The $p$-adic constant for mock modular forms associated to CM forms II

The $p$-adic constant for mock modular forms associated to CM forms II

For a normalized newform $g \in S_{k}(\Gamma_{0}(N))$ with complex multiplication by an imaginary quadratic field $K$, there is a mock modular form $F^{+}$ corresponding to $g$. K. Bringmann et al. modified $F^{+}$ in order to obtain a $p$-adic modular form by a certain $p$-adic constant $\alpha_{g}$. In addition, they showed …