Singular values of some modular functions and their applications to class fields

Author:

Hong Kuk Jin,Koo Ja Kyung

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference16 articles.

1. Chen, I., Yui, N.: Singular values of Thompson series. In: Groups, Difference Sets and Monster, pp. 255–326. de Gruyter (1995)

2. Cox David, A.: Primes of the Form x 2+ny 2. Wiley, New York (1989)

3. Harada, K.: Moonshine of finite groups. Ohio State University (Lecture note)

4. Hong, K.J., Koo, J.K.: Generation of class fields by the modular function j 1,12. Acta Arith. 93, 257–291 (2000)

5. Hong, K.J., Koo, J.K.: The modular function j 1,6 and its application to quadratic forms and class fields. Preprint

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1. Additional References;Primes of the Formx2+ ny2;2013-10-25

2. Ray class fields generated by torsion points of certain elliptic curves;The Ramanujan Journal;2012-06-26

3. Affine models of the modular curves X(p) and its application;The Ramanujan Journal;2010-12-08

4. More on super-replication formulae (II);The Ramanujan Journal;2010-04-22

5. CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS;The Quarterly Journal of Mathematics;2009-01-07

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