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Distribution of root numbers of Hecke characters attached to some elliptic curves
- Author(s)
- Jeong, Keunyoung, Kim, Jigu, Kim, Taekyung
- Issued Date
- 2021-05
- Citation
- FORUM MATHEMATICUM, v.33, no.3, pp.653 - 668
- 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.
- Publisher
- WALTER DE GRUYTER GMBH
- ISSN
- 0933-7741
- Keyword (Author)
- Hecke characters, complex multiplication, distribution of root numbers
- Keyword
- GAUSS SUMS
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