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연구기관
수리과학연구소
Journal papers
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Distribution of root numbers of Hecke characters attached to some elliptic curves
Title
Distribution of root numbers of Hecke characters attached to some elliptic curves
Authors
Jeong K.
;
Kim J.
;
Kim T.
Ewha Authors
김지구
SCOPUS Author ID
김지구
Issue Date
2021
Journal Title
Forum Mathematicum
ISSN
0933-7741
Citation
Forum Mathematicum vol. 33, no. 3, pp. 653 - 668
Keywords
complex multiplication
;
distribution of root numbers
;
Hecke characters
Publisher
De Gruyter Open Ltd
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
In this paper, we show that an action on the set of elliptic curves with j=1728j=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. © 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.
DOI
10.1515/forum-2020-0015
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