The cuspidal class number formula for the modular curves X1(3m)

Toshikazu TAKAGI

doi:10.2969/jmsj/04740671

The cuspidal class number formula for the modular curves X₁(3^m)

Toshikazu TAKAGI

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JOURNAL FREE ACCESS

1995 Volume 47 Issue 4 Pages 671-686

DOI https://doi.org/10.2969/jmsj/04740671

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Published: 1995 Received: October 15, 1992 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) V. G. Drinfeld, Two theorems on modular curves, Functional Anal. Appl., 7 (1973), 155-156.
2) S. Klimek, Thesis, Berkeley, 1975.
3) D. Kubert and S. Lang, The index of Stickelberger ideals of order 2 and cuspidal class numbers, Math. Ann., 237 (1978), 213-232.
4) D. Kubert and S. Lang, Modular Units, Grundlehren der Mathematischen Wissen-schaften, 244, Springer-Verlag, Berlin-New York, 1981.
5) J. Manin, Parabolic points and zeta functions of modular curves, Izv. Akad. Nauk SSSR Ser. Mat., 36 (1972), 19-64, (AMS translation).
6) A. Ogg, Rational points on certain elliptic modular curves, In AMS Conference, St. Louis, 1972, pp. 211-231.
7) T. Takagi, Cuspidal class number formula for the modular curves X₁(p), J. Algebra, 151 (1992), 348-374.
8) T. Takagi, The cuspidal class number formula for the modular curves X₁(p^m), J. Algebra, 157 (1993), 515-549.
9) H. Weber, Lehrbuch der Algebra, Vol. III, Chelsea, New York.
10) J. Yu, A cuspidal class number formula for the modular curves X₁(N), Math. Ann., 252 (1980), 197-216.

Right : [1] V. G. Drinfeld, Two theorems on modular curves, Functional Anal. Appl., 7 (1973), 155-156.
[2] S. Klimek, Thesis, Berkeley, 1975.
[3] D. Kubert and S. Lang, The index of Stickelberger ideals of order 2 and cuspidal class numbers, Math. Ann., 237 (1978), 213-232.
[4] D. Kubert and S. Lang, Modular Units, Grundlehren der Mathematischen Wissen-schaften, 244, Springer-Verlag, Berlin-New York, 1981.
[5] J. Manin, Parabolic points and zeta functions of modular curves, Izv. Akad. Nauk SSSR Ser. Mat., 36 (1972), 19-64, (AMS translation).
[6] A. Ogg, Rational points on certain elliptic modular curves, In AMS Conference, St. Louis, 1972, pp. 211-231.
[7] T. Takagi, Cuspidal class number formula for the modular curves X₁(p), J. Algebra, 151 (1992), 348-374.
[8] T. Takagi, The cuspidal class number formula for the modular curves X₁(p^m), J. Algebra, 157 (1993), 515-549.
[9] H. Weber, Lehrbuch der Algebra, Vol. III, Chelsea, New York.
[10] J. Yu, A cuspidal class number formula for the modular curves X₁(N), Math. Ann., 252 (1980), 197-216.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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