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On common roots of random Bernoulli polynomials. (English) Zbl 1316.26016

Summary: We prove that with high probability, \(d+1\) random Bernoulli polynomials in \(d\) variables of degree \(n\) (\(n\to \infty\)) do not possess a common root.

MSC:

26C10 Real polynomials: location of zeros
60C05 Combinatorial probability