Factorization theorems are obtained for selfadjoint operator polynomials $\mathrm{L}\left(\mathrm{\lambda }\right):=\sum _{\mathrm{j}=0}^{\mathrm{n}}{\mathrm{\lambda ...
We show that the binary expansions of algebraic numbers do not form secure pseudorandom sequences; given sufficiently many initial bits of an algebraic number, its minimal polynomial can be ...
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