On a problem of Hasse and Ramachandra

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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
DE GRUYTER POLAND SP ZOO
Issue Date
2019-03
Language
English
Article Type
Article
Citation

OPEN MATHEMATICS, v.17, pp.131 - 140

ISSN
2391-5455
DOI
10.1515/math-2019-0013
URI
http://hdl.handle.net/10203/254129
Appears in Collection
MA-Journal Papers(저널논문)
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