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arxiv: 1112.5645 · v1 · pith:KUC6Z2O6new · submitted 2011-12-23 · 🧮 math.NT

Quadratic modular symbols on Shimura curves

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keywords quadraticmodularcurvessymbolsl-functionsp-adicshimuraattach
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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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