Primitive and totally primitive Fricke families with applications (II)

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We find necessary and sufficient conditions for a Fricke family of level N (≥2) to be primitive or totally primitive. Let K be an imaginary quadratic field of discriminant other than and . As applications of Fricke families, we show that if is sufficiently large, then the special values of a primitive Fricke family generate the ray class field modulo N over K. Moreover, we construct a primitive generator of over K in terms of the special values of classical Fricke functions for every K which would be a partial answer to a question of Hasse and Ramachandra.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2019-04
Language
English
Article Type
Article
Citation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.472, no.1, pp.432 - 446

ISSN
0022-247X
DOI
10.1016/j.jmaa.2018.11.033
URI
http://hdl.handle.net/10203/248967
Appears in Collection
MA-Journal Papers(저널논문)
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