@article{bwmeta1.element.bwnjournal-article-aav93i3p257bwm, author = {Kuk Jin Hong and Ja Kyung Koo}, title = {Generation of class fields by the modular function $j\_{1,12}$ }, journal = {Acta Arithmetica}, volume = {92}, year = {2000}, pages = {257-291}, zbl = {0945.11009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p257bwm} }
Kuk Jin Hong; Ja Kyung Koo. Generation of class fields by the modular function $j_{1,12}$ . Acta Arithmetica, Tome 92 (2000) pp. 257-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p257bwm/
[000] [1] I. Chen and N. Yui, Singular values of Thompson series, in: Groups, Difference Sets and the Monster, K. T. Arasu et al. (eds.), de Gruyter, 1996, 255-326. | Zbl 0918.11024
[001] [2] J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. London Math. Soc. 11 (1979), 308-339.
[002] [3] D. A. Cox, Primes of the Form x² + ny², Wiley, 1989.
[003] [4] K. Harada, Moonshine of Finite Groups, lecture note, Ohio State Univ.
[004] [5] C. H. Kim and J. K. Koo, Arithmetic of the modular function j₄, J. Korean Math. Soc. 36 (1999), 707-724. | Zbl 0943.11024
[005] [6] C. H. Kim and J. K. Koo, Arithmetic of the modular function , Acta Arith. 84 (1998), 129-143. | Zbl 0907.11014
[006] [7] C. H. Kim and J. K. Koo, Arithmetic of the modular function , Ramanujan J., to appear. | Zbl 1196.11062
[007] [8] C. H. Kim and J. K. Koo, Arithmetic of the modular functions and , in preparation. | Zbl 1196.11062
[008] [9] C. H. Kim and J. K. Koo, Arithmetic of the modular functions and , in preparation. | Zbl 1196.11062
[009] [10] C. H. Kim and J. K. Koo, Generation of Hauptmoduln of Γ₁(7), Γ₁(9) and Γ₁(10), in preparation.
[010] [11] C. H. Kim and J. K. Koo, On the Hauptmodul of Γ₁(12), preprint.
[011] [12] C. H. Kim and J. K. Koo, On the genus of some modular curve of level N, Bull. Austral. Math. Soc. 54 (1996), 291-297. | Zbl 0894.11018
[012] [13] C. H. Kim and J. K. Koo, The normalizer of Γ₁(N) in PSL₂(ℝ), Comm. Algebra, to appear.
[013] [14] N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Springer, 1984. | Zbl 0553.10019
[014] [15] S. Lang, Algebraic Number Theory, Springer, 1994. | Zbl 0811.11001
[015] [16] S. Lang, Elliptic Functions, Springer, 1987. | Zbl 0615.14018
[016] [17] R. Rankin, Modular Forms and Functions, Cambridge Univ. Press, Cambridge, 1977. | Zbl 0376.10020
[017] [18] B. Schoeneberg, Elliptic Modular Functions, Springer, 1973.
[018] [19] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Publ. Math. Soc. Japan 11, Princeton, 1971. | Zbl 0221.10029
[019] [20] G. Shimura, On modular forms of half-integral weight, Ann. of Math. 97 (1973), 440-481. | Zbl 0266.10022
[020] [21] J. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves, Springer, 1994. | Zbl 0911.14015