Proportion of polynomials of a fixed degree with a certain number of real roots – mathoverflow.net

Proportion of polynomials of a fixed degree with a certain number of real roots – mathoverflow.net

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For a polynomial $f(x) = \sum_{i=0}^dc_ix^i \in \mathbb Z[x]$ of degree $d$, let $$ H(f):=\max\limits_{i=0,1,\ldots, d}\{|c_i|\} $$ denote the naive height. Further, define $$ R(M, r, d) := ...

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