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Nagoya Mathematical Journal

On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings

Tomoyoshi Ibukiyama
Source: Nagoya Math. J. Volume 88 (1982), 181-195.
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Primary Subjects: 11R52
Secondary Subjects: 16A45
Full-text: Open access
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118787011
Mathematical Reviews number (MathSciNet): MR0683249
Zentralblatt MATH identifier: 0473.12012

References

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Zentralblatt MATH: 0008.29301
Mathematical Reviews (MathSciNet): MR1562813
Digital Object Identifier: doi:10.1090/S0002-9904-1934-05828-2
Project Euclid: euclid.bams/1183497261
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Mathematical Reviews (MathSciNet): MR3:104f
Zentralblatt MATH: 0025.02003
Digital Object Identifier: doi:10.1007/BF02940746
[3] M. Deuring, Die Anzahl der Typen von Maximalordnungen einer deiniten Quaternionen- algebra mit primer Grundzahl, Jahresbericht der Deutschen Math., 54 (1951), 24-41.
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Mathematical Reviews (MathSciNet): MR1545717
Digital Object Identifier: doi:10.1007/BF01181088
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[6] K. Hashimoto, Twisted trace formula of the Brandt matrix, Proc. Japan Acad., 53, Ser. A (1977), 98-102.
Mathematical Reviews (MathSciNet): MR56:11964
Zentralblatt MATH: 0443.10024
Digital Object Identifier: doi:10.3792/pjaa.53.98
Project Euclid: euclid.pja/1195518089
[7] K. Hashimoto, Some examples of integral definite quaternary quadratic forms with prime discriminant, Nagoya Math. J., 77 (1980), 167-175.
Mathematical Reviews (MathSciNet): MR81f:10029
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Project Euclid: euclid.nmj/1118786027
[8] T. Ibukiyama, A basis and maximal orders in quaternion algebras over the rational number field (in Japanese), Sugaku, 24 (1972), 316-318.
Mathematical Reviews (MathSciNet): MR58:27909
[9] P. Ponomarev, A correspondence between quaternary quadratic forms, Nagoya Math. J., 62 (1976), 125-140.
Mathematical Reviews (MathSciNet): MR54:242
Zentralblatt MATH: 0314.10014
Project Euclid: euclid.nmj/1118795848
[10] H. Shimizu, On zeta functions of quaternion algebras, Ann. Math., 81 (1965), 166-193.
Mathematical Reviews (MathSciNet): MR30:1998
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Digital Object Identifier: doi:10.2307/1970389
[11] H. Shimizu, Some examples of new forms, J. Fac. Sci. Univ. Tokyo, 24-1 (1977), 97-113. Department of Mathematics Faculty of Science University of Tokyo Hongo, Tokyo 113 Japan Department of Mathematics College of General Education Kyushu University Chuo-ku, Fukuoka 810 Japan
Mathematical Reviews (MathSciNet): MR56:5436
Zentralblatt MATH: 0359.10023

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