Critical p-adic L-functions

• 成果类型: Article
• 署名作者: Bellaiche, Joel
• 署名单位: Brandeis University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0358-z
• 发表日期: 2012
• 页码: 1-60
• 关键词: modular-forms; deformations; conjectures; families; systems

摘要

We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the eigencurve.