3 problems
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The asymptotic inequality conjecture for Bézout coefficients and resultants
For positive integers , let … where is the maximum absolute value of the coefficients of and is its leading coefficient. For coprime integer polyn…
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The frequency conjecture for Bézout coefficients of random integer polynomials
For positive integers , let … where is the maximum of the absolute values of the coefficients of and is its leading coefficient. For coprime integ…
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The Bézout tree conjecture for Pythagorean pairs
Consider the trinary trees generated by and . For a relatively prime pair , let be the pair in a Bézout tree corresponding to , and let …