Distribution of root numbers of Hecke characters attached to some elliptic curves-Reference-Cited by-同舟云学术

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

Published:2021-03-16 Issue:3 Volume:33 Page:653-668
ISSN:1435-5337
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Jeong Keunyoung¹^ORCID,Kim Jigu²,Kim Taekyung³

Affiliation:

1. Department of Mathematical Sciences , Ulsan National Institute of Science and Technology , 50 UNIST-gil , Ulsan 44919 , Republic of Korea

2. Institute of Mathematical Sciences , Ewha Womans University , 52 Ewhayeodae-gil, Seodaemun-gu , Seoul 03760 , Republic of Korea

3. Cryptolab, Inc. , Seoul National University , 1 Gwanak-ro, Gwanak-gu , Seoul 08826 , Republic of Korea

Abstract

Abstract In this paper, we show that an action on the set of elliptic curves with j = 1728

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

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0015/pdf

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