On Teitelbaum type L-invariants of Hilbert Modular forms attached to definite quaternions
SCIE
SCOPUS
- Title
- On Teitelbaum type L-invariants of Hilbert Modular forms attached to definite quaternions
- Authors
- Chida, M; Mok, CP; Park, J
- Date Issued
- 2015-02
- Publisher
- Academic Press
- Abstract
- We generalize Teitelbaum's work on the definition of the L-invariant to Hilbert modular forms that arise from definite quaternion algebras over totally real fields by the Jacquet-Langlands correspondence. Conjecturally this coincides with the Fontaine-Mazur type L-invariant, defined by applying Fontaine's theory to the Galois representation associated to Hilbert modular forms. An exceptional zero conjecture for the p-adic L-function of Hilbert modular forms is also proposed. (C) 2014 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27266
- DOI
- 10.1016/J.JNT.2014.08.012
- ISSN
- 0022-314X
- Article Type
- Article
- Citation
- Journal of Number Theory, vol. 147, page. 633 - 665, 2015-02
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