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11-XX Number theory
11Gxx Arithmetic algebraic geometry (Diophantine geometry)
11G18 Arithmetic aspects of modular and Shimura varieties

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Quadratic modular symbols on Shimura curves

Pilar Bayer, Iván Blanco-Chacón (2013)

Journal de Théorie des Nombres de Bordeaux

We introduce the concept of quadratic modular symbol and study how these symbols are related to quadratic $p$ -adic $L$ -functions. These objects were introduced in [3] in the case of modular curves. In this paper, we discuss a method to attach quadratic modular symbols and quadratic $p$ -adic $L$ -functions to more general Shimura curves.

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