Abstract
For i = 1, ... , r, let f i be newforms of weight 2k i for Γ0(N i ) with trivial character. We consider the simultaneous non-vanishing problem for the central values of twisted L-functions of f i . By using the Shimura correspondence, we give a certain relation between this problem and the kernel fields of 2-adic Galois representations associated to modular forms.
Original language | English |
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Pages (from-to) | 211-215 |
Number of pages | 5 |
Journal | Archiv der Mathematik |
Volume | 89 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2007 Sep 1 |
Keywords
- L-function
- Modular form
- Simultaneous non-vanishing
ASJC Scopus subject areas
- Mathematics(all)