Distribution of root numbers of Hecke characters attached to some elliptic curves
-
Keunyoung Jeong
,
Jigu Kim
Abstract
In this paper, we show that an action on the set of elliptic curves with
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: 2018R1C1C1004264
Award Identifier / Grant number: 2019R1A6A1A11051177
Award Identifier / Grant number: 2020R1I1A1A01074746
Funding statement: The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. 2018R1C1C1004264). He also thanks IBS-CGP for their hospitality and financial support. The second author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Nos. 2019R1A6A1A11051177 and 2020R1I1A1A01074746). The third author was supported by IBS-R003-D1.
Acknowledgements
The authors thank the referee for the valuable suggestions. The first author would like to thank Professor Peter J. Cho and Professor Yoonbok Lee for useful discussion. The second and the third authors also thank UNIST for their hospitality.
Communicated by: Valentin Blomer
References
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Articles in the same Issue
- Frontmatter
- Weighted value distributions of the Riemann zeta function on the critical line
- Equivariant prequantization and the moment map
- Covering classes and 1-tilting cotorsion pairs over commutative rings
- Higher pullbacks of modular forms on orthogonal groups
- Distribution of root numbers of Hecke characters attached to some elliptic curves
- Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions
- On the number of zeros of diagonal cubic forms over finite fields
- Generic cuspidal representations of 𝑈(2, 1)
- A class of non-weight modules of 𝑈𝑝(𝖘𝖑2) and Clebsch–Gordan type formulas
- Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces
- Integral foliated simplicial volume and S1-actions
- Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature
- Vector bundles 𝐸 on ℙ3 with homological dimension 2 and 𝜒(End 𝐸) = 1
- On counting cuspidal automorphic representations for GSp(4)
- Algebraic cycles and intersections of a quadric and a cubic
Articles in the same Issue
- Frontmatter
- Weighted value distributions of the Riemann zeta function on the critical line
- Equivariant prequantization and the moment map
- Covering classes and 1-tilting cotorsion pairs over commutative rings
- Higher pullbacks of modular forms on orthogonal groups
- Distribution of root numbers of Hecke characters attached to some elliptic curves
- Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions
- On the number of zeros of diagonal cubic forms over finite fields
- Generic cuspidal representations of 𝑈(2, 1)
- A class of non-weight modules of 𝑈𝑝(𝖘𝖑2) and Clebsch–Gordan type formulas
- Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces
- Integral foliated simplicial volume and S1-actions
- Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature
- Vector bundles 𝐸 on ℙ3 with homological dimension 2 and 𝜒(End 𝐸) = 1
- On counting cuspidal automorphic representations for GSp(4)
- Algebraic cycles and intersections of a quadric and a cubic
