On simultaneous non-vanishing of modular L-functions

Masataka Chida

doi:10.1007/s00013-007-1887-y

On simultaneous non-vanishing of modular L-functions

Masataka Chida

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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
Pages (from-to)	211-215
Number of pages	5
Journal	Archiv der Mathematik
Volume	89
Issue number	3
DOIs	https://doi.org/10.1007/s00013-007-1887-y
Publication status	Published - 2007 Sep 1

Keywords

L-function
Modular form
Simultaneous non-vanishing

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00013-007-1887-y

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