Dimensions of anisotropic indefinite quadratic forms. I.
Hoffmann, Detlev W. (2001)
Documenta Mathematica
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Hoffmann, Detlev W. (2001)
Documenta Mathematica
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Becher, Karim Johannes, Hoffmann, Detlev W. (2007)
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Berhuy, Grégory, Leep, David B. (2001)
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Baeza, Ricardo (2001)
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L. Szczepanik (1978)
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Kazimierz Szymiczek (1975)
Acta Arithmetica
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Craig Cordes, John Ramsey (1978)
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Albrecht Pfister (1979)
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Mireille Car (2008)
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Konrad Jałowiecki, Przemysław Koprowski (2016)
Banach Center Publications
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This paper presents algorithms for quadratic forms over a formally real algebraic function field K of one variable over a fixed real closed field k. The algorithms introduced in the paper solve the following problems: test whether an element is a square, respectively a local square, compute Witt index of a quadratic form and test if a form is isotropic/hyperbolic. Finally, we remark on a method for testing whether two function fields are Witt equivalent.
Larry J. Gerstein (2000)
Acta Arithmetica
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Hoffmann, Detlev W. (1996)
Documenta Mathematica
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M. Kula, L. Szczepanik, K. Szymiczek (1979)
Manuscripta mathematica
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Toru Komatsu (2001)
Acta Arithmetica
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