The inhomogeneous minimum of quadratic forms of signature zero
B. Birch (1958)
Acta Arithmetica
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B. Birch (1958)
Acta Arithmetica
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Montserrat Alsina (2005)
Journal de Théorie des Nombres de Bordeaux
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For any Eichler order of level in an indefinite quaternion algebra of discriminant there is a Fuchsian group and a Shimura curve . We associate to a set of binary quadratic forms which have semi-integer quadratic coefficients, and we develop a classification theory, with respect to , for primitive forms contained in . In particular, the classification theory of primitive integral binary quadratic forms by is recovered. Explicit fundamental domains for allow the characterization...
A. Baker, Andrzej Schinzel (1971)
Acta Arithmetica
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Susan Schuur (1980)
Acta Arithmetica
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Ahmet Tekcan, Osman Bizim (2003)
Mathematica Bohemica
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In this paper some properties of quadratic forms whose base points lie in the point set , the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant are given.
Baeza, Ricardo (2001)
Documenta Mathematica
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B. Birch, D. Lewis (1965)
Acta Arithmetica
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