On a problem of Hasse and Ramachandra-Reference-Cited by-同舟云学术

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On a problem of Hasse and Ramachandra

Published:2019-03-10 Issue:1 Volume:17 Page:131-140
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Koo Ja Kyung¹,Shin Dong Hwa²,Yoon Dong Sung³

Affiliation:

1. Department of Mathematical Sciences, KAIST, Daejeon 34141, Republic of Korea

2. Department of Mathematics, Hankuk University of Foreign Studies, Yongin-si, Gyeonggi-do 17035, Republic of Korea

3. Department of Mathematics Education, Pusan National University, Busan, 46241, Republic of Korea

Abstract

Abstract Let K be an imaginary quadratic field, and let 𝔣 be a nontrivial integral ideal of K. Hasse and Ramachandra asked whether the ray class field of K modulo 𝔣 can be generated by a single value of the Weber function. We completely resolve this question when 𝔣 = (N) for any positive integer N excluding 2, 3, 4 and 6.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0013/pdf

Reference26 articles.

1. Ring class invariants over imaginary quadratic fields;Forum Math.,2016

2. Algebraic Number Fields;Grad. Studies in Math. 7, Amer. Math. Soc., Providence, R. I.,1996

3. Some applications of Kronecker’s limit formula;Ann. of Math.,1964

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On somep‐adic Galois representations and form class groups;Mathematika;2022-04

2. Class fields generated by coordinates of elliptic curves;Open Mathematics;2022-01-01

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