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Conditions for resultants of bivariate quadratics to be perfect squares

What are the necessary and sufficient conditions for their resultants to be perfect squares over $\mathbb Z[x]$ and $\mathbb Z[y]$? …
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4 votes
1 answer
272 views

Resultants for compactly represented product form polynomials?

Since the polynomials are structured is there a closed form for the two resultants or at least can the latter resultant of both $f_j,g_i$ be computable by a determinant of polynomial size? …
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0 votes
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Final step in Coppersmith?

Can we use resultants here? As I understand resultants are for algebraically closed fields and $\mathbb Z$ is not even a field. How does Coppersmith's technique work to obtain integer roots? …
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