On the non-vanishing mod ℓpan> of central L-values with anticyclotomic twists for Hilbert modular forms

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• 作者：Pin-Chi Hung ^{pinchihung1111@gmail.com}
• 关键词：Rankin&ndash ; Selberg L-function ; p-Adic L-function ; Automorphic forms
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：173
• 期：Complete
• 页码：170-209
• 全文大小：579 K
• 卷排序：173

文摘

In this article, we generalize some works of Masataka Chida and Ming-Lun Hsieh on anticyclotomic p-adic L-functions attached to modular forms to Hilbert case. We construct a class of anticyclotomic p-adic L-functions for ordinary Hilbert modular forms and derive the interpolation formula at all critical specializations. Moreover, we prove results on the vanishing of μ-invariant of these p-adic L-functions and the non-vanishing of central L-values with anticyclotomic twists.