Symmetric matrices, characteristic polynomials, and Hilbert symbols over local number fields
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- by Edward A. Bender and Norman P. Herzberg PDF
- Bull. Amer. Math. Soc. 79 (1973), 518-520
References
- Edward A. Bender, Characteristic polynomials of symmetric matrices, Pacific J. Math. 25 (1968), 433–441. MR 229619, DOI 10.2140/pjm.1968.25.433 2. E. A. Bender, A lifting formula for the Hilbert symbol, Proc. Amer. Math. Soc. (to appear).
- Edward A. Bender, Characteristic polynomials of symmetric matrices. II. Local number fields, Linear and Multilinear Algebra 2 (1974), 55–63. MR 447282, DOI 10.1080/03081087408817041
- Edward A. Bender and Norman P. Herzberg, Characteristic polynomials of symmetric matrices. III. Some counterexamples, Linear and Multilinear Algebra 2 (1974), 173–178. MR 447283, DOI 10.1080/03081087408817056 5. O. T. O’Meara, Introduction to quadratic forms, Die Grundlehren der math. Wissenschaften, Band 117, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 27 #2485.
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 518-520
- MSC (1970): Primary 15A18, 10C05, 12B05, 15A57; Secondary 10C20, 15A63
- DOI: https://doi.org/10.1090/S0002-9904-1973-13181-7
- MathSciNet review: 0313276