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arXiv · 2001.06321

Distribution of root numbers of Hecke characters attached to some elliptic curves

Keunyoung Jeong·Jigu Kim·Taekyung Kim
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Abstract

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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Keunyoung Jeong, Jigu Kim, Taekyung Kim. 2020-01-17. Distribution of root numbers of Hecke characters attached to some elliptic curves. https://arxiv.org/abs/2001.06321

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