Construction of ray-class fields by smaller generators and their applications
2017 ◽
Vol 147
(4)
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pp. 781-812
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Keyword(s):
We generate ray-class fields over imaginary quadratic fields in terms of Siegel–Ramachandra invariants, which are an extension of a result of Schertz. By making use of quotients of Siegel–Ramachandra invariants we also construct ray-class invariants over imaginary quadratic fields whose minimal polynomials have relatively small coefficients, from which we are able to solve certain quadratic Diophantine equations.
2016 ◽
Vol 146
(4)
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pp. 723-740
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Keyword(s):
Keyword(s):
Keyword(s):
2011 ◽
Vol 80
(274)
◽
pp. 1099-1099
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Keyword(s):
2011 ◽
Vol 271
(1-2)
◽
pp. 109-116
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Keyword(s):
Keyword(s):
2013 ◽
Vol 50
(4)
◽
pp. 847-864