Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON THE SIEGEL-TATUZAWA THEOREM FOR A CLASS OF L-FUNCTIONS
Yumiko ICHIHARAKohji MATSUMOTO
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2008 年 62 巻 1 号 p. 201-215

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We consider an effective lower bound of the Siegel-Tatuzawa type for general L-functions with three standard assumptions. We further assume three hypotheses in this paper that are essential in developing our argument.Under these assumptions and hypotheses, we prove a theorem of Siegel-Tatuzawa type for general L-functions. In particular, we prove such a theorem for symmetric power L-functions under certain assumptions.
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© 2008 by Faculty of Mathematics, Kyushu University
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