2010Proceedings of the Edinburgh Mathematical SocietyOpen access

On the gaps between values of binary quadratic forms

Jörg Brüdern, Rainer Dietmann

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Abstract

Abstract Among the values of a binary quadratic form, there are many twins of fixed distance. This is shown in quantitative form. For quadratic forms of discriminant −4 or 8 a corresponding result is obtained for triplets.

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Abstract Among the values of a binary quadratic form, there are many twins of fixed distance. This is shown in quantitative form. For quadratic forms of discriminant −4 or 8 a corresponding result is obtained for triplets.

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Available abstract

Abstract Among the values of a binary quadratic form, there are many twins of fixed distance. This is shown in quantitative form. For quadratic forms of discriminant −4 or 8 a corresponding result is obtained for triplets.

Key concepts: Binary quadratic form, Discriminant, Quadratic equation, Binary number, Mathematics, Quadratic form (statistics), Isotropic quadratic form, Quadratic function

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