On the algebraic theory of elliptic modular functions

Jun-ichi IGUSA

doi:10.2969/jmsj/02010096

Jun-ichi IGUSA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 1-2 Pages 96-106

DOI https://doi.org/10.2969/jmsj/02010096

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Published: 1968 Received: January 23, 1967 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to S. Tyanaga on his 60th birthday

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Deuring, Invarianten and Normalformen elliptischer Funktionenkörper, Math. Z., 47 (1941), 47-56.
2) M. Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamb. Univ., 14 (1941), 197-272.
3) H. Hasse, Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper, J. Reine Angew. Math., 172 (1934), 37-54.
4) J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math., 81 (1959), 436-452.
5) J. Igusa, Fiber systems of Jacobian varieties III, Amer. J. Math., 81 (1959), 453-476.
6) J. Igusa, Kroneckerian model of fields of elliptic modular functions, Amer. J. Math., 81 (1959), 561-577.
7) L. Kronecker, Zur Theorie der elliptischen Functionen, Collected Works, Vol. 4, 1929, 345-495.
8) A. Weil, Foundations of Algebraic Geometry, Providence, 1962.

Right : [1] M. Deuring, Invarianten und Normalformen elliptischer Funktionenkörper, Math. Z., 47 (1941), 47-56.
[2] M. Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamb. Univ., 14 (1941), 197-272.
[3] H. Hasse, Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper, J. Reine Angew. Math., 172 (1934), 37-54.
[4] J. Igusa, On the transformation theory of elliptic functions, Amer. J. Math., 81 (1959), 436-452.
[5] J. Igusa, Fiber systems of Jacobian varieties III, Amer. J. Math., 81 (1959), 453-476.
[6] J. Igusa, Kroneckerian model of fields of elliptic modular functions, Amer. J. Math., 81 (1959), 561-577.
[7] L. Kronecker, Zur Theorie der elliptischen Functionen, Collected Works, Vol. 4, 1929, 345-495.
[8] A. Weil, Foundations of Algebraic Geometry, Providence, 1962.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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