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A correspondence between quaternary quadratic forms

Published online by Cambridge University Press:  22 January 2016

Paul Ponomarev
Paul Ponomarev*
Affiliation:
Department of Mathematics, The Ohio State University
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Abstract

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Type
Letter
Information
Nagoya Mathematical Journal , Volume 62 , September 1976 , pp. 125 - 140
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

[1] Deuring, M., Die Anzahl der Typen von Maximalordnungen einer definiten Quater-nionenalgebra mit primer Grundzahl, Jber. DMV 54 (1950), 24–41.Google Scholar
[2] Eichler, M., Zur Zahlentheorie der Quaternionen-Algebren, J. Reine Angew. Math. 195 (1955), 127–151.Google Scholar
[3] Eichler, M., Über die Darstellbarkeit von Modulformen durch Thetareihen, J. Reine Angew. Math. 195 (1955), 156–171.CrossRefGoogle Scholar
[4] Hecke, E., Mathematische Werke, Vandenhoeck & Ruprecht, Göttingen, 1970.Google Scholar
[5] Kitaoka, Y., Quaternary even positive definite quadratic forms of prime discriminant, Nagoya Math. J. 52 (1973), 147–161.Google Scholar
[6] Ponomarev, P., Class numbers of definite quaternary forms with square discriminant, J. No. Theory 6 (1974), 291–317.CrossRefGoogle Scholar
[7] Ponomarev, P., Class numbers of definite quaternary forms with nonsquare discriminant, Bull. AMS 79 (1973), 594–598.Google Scholar
[8] Ponomarev, P., Arithmetic of quaternary quadratic forms, Acta Arithmetica 29 (1976), 1–48.Google Scholar