Distribution of toric periods of modular forms on definite quaternion algebras

Miyu Suzuki, Satoshi Wakatsuki, Shun'ichi Yokoyama

Let $D$ be a definite quaternion algebra over $\mathbb{Q}$ and $\mathcal{O}$ an Eichler order in $D$ of square-free level. We study distribution of the toric periods of algebraic m…