Binary quadratic forms with the same value set
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Date
2025-09
Publication Type
Journal Article
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yes
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Abstract
Given a binary quadratic form F∈Z[X,Y], we define its value set F(Z²) to be {F(x,y) : (x,y) ∈Z²}. If F,G∈Z[X,Y] are two binary quadratic forms, we give necessary and sufficient conditions on F and G for F(Z²)=G(Z²).
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published
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Journal / series
Volume
36 (5)
Pages / Article No.
1157 - 1179
Publisher
Elsevier
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Software
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Subject
Binary forms; Value sets; Class field theory
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