On p-adic measures for quaternionic modular forms

The purpose of this paper is to study the special values of the standard L-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the L-function twisted by a character following the work of Böcherer–Schmidt [4] on Siegel modular forms. As an application, we construct the p-adic measure interpolating certain special L-values.