Arithmetic of alternating forms and quaternion hermitian forms

Goro SHIMURA

doi:10.2969/jmsj/01510033

Goro SHIMURA

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JOURNAL FREE ACCESS

1963 Volume 15 Issue 1 Pages 33-65

DOI https://doi.org/10.2969/jmsj/01510033

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Published: 1963 Received: June 21, 1962 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: CITATION Details: Wrong : 1) A. Borel, Some properties of adele groups attached to algebraic groups, Bull. Amer. Math. Soc., 67 (1961), 583-585.
2) N. Bourbaki, Algèbre, Chap. 9, Formes sesquilinéaires et formes quadratiques, Hermann, Paris, 1959.
3) M. Eichler, Quadratische Formen and orthogonale Gruppen, Berlin-Göttingen- Heidelberg (Springer), 1952.
4) M. Eichler, Die Ähnlichkeitsklassen indefiniter Gitter, Math. Z., 55 (1952), 216-252.
5) M. Eichler, Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörpern und ihre L-Reihen, J. Reine Angew. Math., 179 (1938), 227-251.
6) M. Kneser, Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen, Arch. Math., 7 (1956), 323-332.
7) K. G. Ramanathan, Quadratic forms over involutorial division algebras, J. Indian Math. Soc., 20 (1956), 227-257.
8) G. Shimura, On the zeta-functions of the algebraic curves uniformized by certain automorphic functions, J. Math. Soc. Japan, 13 (1961), 275-331.
9) G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. Math., 76 (1962), 237-294.
10) T. Tsukamoto, On the local theory of quaternionic anti-hermitian forms, J. Math. Soc. Japan, 13 (1961), 387-400.
11) A. Weil, Discontinuous subgroups of classical groups, lecture note, Univ. of Chicago, 1958.
12) A. Weil, Adeies and algebraic groups, lecture note, Institute for Advanced Study, Princeton, 1961.

Right : [1] A. Borel, Some properties of adele groups attached to algebraic groups, Bull. Amer. Math. Soc., 67 (1961), 583-585.
[2] N. Bourbaki, Algèbre, Chap. 9, Formes sesquilinéaires et formes quadratiques, Hermann, Paris, 1959.
[3] M. Eichler, Quadratische Formen and orthogonale Gruppen, Berlin-Göttingen- Heidelberg (Springer), 1952.
[4] M. Eichler, Die Ähnlichkeitsklassen indefiniter Gitter, Math. Z., 55 (1952), 216-252.
[5] M. Eichler, Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörpern und ihre L-Reihen, J. Reine Angew. Math., 179 (1938), 227-251.
[6] M. Kneser, Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen, Arch. Math., 7 (1956), 323-332.
[7] K. G. Ramanathan, Quadratic forms over involutorial division algebras, J. Indian Math. Soc., 20 (1956), 227-257.
[8] G. Shimura, On the zeta-functions of the algebraic curves uniformized by certain automorphic functions, J. Math. Soc. Japan, 13 (1961), 275-331.
[9] G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. Math., 76 (1962), 237-294.
[10] T. Tsukamoto, On the local theory of quaternionic anti-hermitian forms, J. Math. Soc. Japan, 13 (1961), 387-400.
[11] A. Weil, Discontinuous subgroups of classical groups, lecture note, Univ. of Chicago, 1958.
[12] A. Weil, Adeies and algebraic groups, lecture note, Institute for Advanced Study, Princeton, 1961.

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

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