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arXiv · 1204.2427

Special values of anticyclotomic L-functions for modular forms

Masataka Chida·Ming-Lun Hsieh
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Abstract

In this article, we generalize some works of Bertolini-Darmon and Vatsal on anticyclotomic L-functions attached to modular forms of weight two to higher weight case. We construct a class of anticyclotomic p-adic L-functions for ordinary modular forms and derive the functional equation and the interpolation formula at all critical specializations. Moreover, we prove results on the vanishing of mu-invariant of these p-adic L-functions and the non-vanishing of central L-values with anticyclotomic twists.

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Masataka Chida, Ming-Lun Hsieh. 2012-04-11. Special values of anticyclotomic L-functions for modular forms. https://arxiv.org/abs/1204.2427

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