On \(p\)-adic Waldspurger formula

• Published in: arXiv.org
• Main Authors: Liu, Yifeng, Zhang, Shouwu, Zhang, Wei
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 25.11.2015
• Subjects: Dirichlet problem; Interpolation; Toruses; Weight

In this article, we study \(p\)-adic torus periods for certain \(p\)-adic valued functions on Shimura curves coming from classical origin. We prove a \(p\)-adic Waldspurger formula for these periods, generalizing the recent work of Bertolini, Darmon, and Prasanna. In pursuing such a formula, we cons...