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Название: The Undecidability of the Existence of Zeros of Real Elementary Functions
Автор: Wang P.S.
From Richardson's undecidability results, it is shown that the predicate "there existe a real number r such that G(r) = 0" is recursively undecidable for G(x) in a class of functions which involves polynomials and the sine function. The deduction follows that the convergence of a class of improper integrals is recursively undecidable.