Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-20T04:44:24.544Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
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