"A globally convergent method for finding zeros of integer functions
of finite order"
Gromov A.N. 
A method for finding zeros of integer functions of finite order is proposed. This method converges to a root starting from an arbitrary initial point and, hence, is globally convergent. The method is based on a representation of higherorder derivatives of the logarithmic derivative as a sum of partial fractions and reduces the finding of a root to the choice of the minimum number from a finite set. The rate of convergence is estimated. Keywords: global convergence, logarithmic derivative, higherorder derivative, partial fractions, CauchyHadamard formula.

