Power series expansions of modular forms and $p$-adic interpolation of the square roots of Rankin-Selberg special values

Andrea Mori

Let $f$ be a newform of even weight $2\kappa$ for $D^{\times }$, where $D$ is a possibly split indefinite quaternion algebra over $\mathbb{Q}$. Let $K$ be a quadratic imaginary field split…