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Distribution of root numbers of Hecke characters attached to some elliptic curves
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math.NT
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characterscurvesellipticheckerootattacheddistributionnumbers
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In this paper, we show that an action on the set of elliptic curves with j= 1728 preserves a certain kind of symmetry on the local root number of Hecke characters attached to such elliptic curves. As a consequence, we give results on the distribution of the root numbers and their average of the aforementioned Hecke characters.
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