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Pairs of quadratic forms

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Inventiones mathematicae Aims and scope

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References

  1. Bourbaki, N.: Algèbre 7: Modules sur les anneaux principaux, 2e ed. Paris: Hermann 1964

    Google Scholar 

  2. Cassels, J. W. S., Fröhlich, A. (Eds.): Algebraic number theory. London: Academic Press 1967

    Google Scholar 

  3. Dickson, L. E.: Equivalence of pairs of bilinear or quadratic forms under rational transformation. Trans. Amer. Math. Soc.10, 347–360 (1909)

    Google Scholar 

  4. Greub, W. H.: Linear algebra, 3rd Ed. New York: Springer 1967

    Google Scholar 

  5. Ischebeck, F., Scharlau, W.: Hermitesche und orthogonale Operatoren über kommutativen Ringen. Math. Ann.200, 327–334 (1973)

    Google Scholar 

  6. Iskovskih, V. A.: A counterexample to the Hasse principle for a system of two quadratic forms in five variables. Mat. Zametki10, 253–257 (1971)

    Google Scholar 

  7. Kronecker, L.: Algebraische Reduction der Schaaren quadratischer Formen. Monatsber. Berlin 1890, 1375–1388 [Werke III2, 159–174]

  8. Milnor, J.: On isometries of inner product spaces. Inventiones math.8, 83–97 (1969)

    Google Scholar 

  9. O'Meara, O. T.: Introduction to quadratic forms. Berlin-Göttingen-Heidelberg: Springer 1963

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, 14850, Ithaca, N.Y., USA

    William C. Waterhouse

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  1. William C. Waterhouse
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This work was supported in part by NSF contract GP-25600

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Waterhouse, W.C. Pairs of quadratic forms. Invent Math 37, 157–164 (1976). https://doi.org/10.1007/BF01418967

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  • DOI: https://doi.org/10.1007/BF01418967

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