作者：Prasanna, Kartik
作者单位：University System of Maryland; University of Maryland College Park
摘要：We prove that the theta correspondence for the dual pair ((SL2) over tilde, PBx), for B an indefinite quaternion algebra over Q, acting on modular forms of odd square-free level, preserves rationality and p-integrality in both directions. As a consequence, we deduce the rationality of certain period ratios of modular forms and even p-integrality of these ratios under the assumption that p does not divide a certain L-value. The rationality is applied to give a direct construction of isogenies b...
