  The main result of the paper is a lower estimate for the moduli of imaginary
parts of the poles of a simple partial fraction (i.e. the logarithmic
derivative of an algebraic polynomial) under the condition that the
$L^\infty(\mathbb{R})$-norm of the fraction is unit (Gorin's problem). In
contrast to the preceding results, the estimate takes into account the residues
associated with the poles.
  Moreover, a new estimate for the moduli is obtained in the case when the
$L^\infty(\mathbb{R})$-norm of the derivative of the simple partial fraction is
unit (Gelfond's problem).

Classical Analysis and ODEs