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Composition of binary quadratic forms over number fields

Mathematica Slovaca, 2021
Kristýna Zemková
exaly  

INDEFINITE BINARY QUADRATIC FORMS

The Quarterly Journal of Mathematics, 1950
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Arithmetic Progressions Represented by Binary Quadratic Forms

Summary: Given an arbitrary irreducible integral binary quadratic form, we show how to construct, in parametric terms, arithmetic progressions of nine terms all of which can be represented by the given binary quadratic form. For certain binary quadratic forms, we can extend the length of the arithmetic progressions to 11 terms.
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NON-HOMOGENEOUS BINARY QUADRATIC FORMS

The Quarterly Journal of Mathematics, 1950
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