TY - JOUR
T1 - On simultaneous non-vanishing of modular L-functions
AU - Chida, Masataka
N1 - Funding Information:
Acknowledgement. The author would like to thank Professor Ken Ono for his helpful comments. Also the author is supported in part by the Japan Society for the Promotion of Science Research Fellowships for Young Scientists.
PY - 2007/9
Y1 - 2007/9
N2 - 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.
AB - 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.
KW - L-function
KW - Modular form
KW - Simultaneous non-vanishing
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U2 - 10.1007/s00013-007-1887-y
DO - 10.1007/s00013-007-1887-y
M3 - Article
AN - SCOPUS:34748905381
VL - 89
SP - 211
EP - 215
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 3
ER -