Modules and binary quadratic forms
G. Pall, Hubert Butts (1968)
Acta Arithmetica
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G. Pall, Hubert Butts (1968)
Acta Arithmetica
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Philip Leonard, Kenneth Williams (1974)
Acta Arithmetica
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A. Arenas, P. Bayer (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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M. Kneser, M.-A. Knus, M. Ojanguren, R. Parimala, R. Sridharan (1986)
Compositio Mathematica
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Paul Ponomarev (1976)
Acta Arithmetica
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Juliusz Brzezinski (1998)
Journal de théorie des nombres de Bordeaux
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We compute the numbers of locally principal ideals with given norm in a class of definite quaternion orders and the traces of the Brandt-Eichler matrices corresponding to these orders. As an application, we compute the numbers of representations of algebraic integers by the norm forms of definite quaternion orders with class number one as well as we obtain class number relations for some CM-fields.
A. Arenas, P. Bayer (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Olga Taussky (1973)
Acta Arithmetica
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Jacek Klimek (1988)
Fundamenta Mathematicae
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