An analytic method in probabilistic combinatorics
Eugenijus Manstavičius · Osaka City University (Osaka City University) · 2009
We deal with the value distribution problem for the linear combinations of multiplicities of the cycle lengths of a random permutation. To examine the characteristic functions, we derive asymptotic formulas for ratios of the Taylor coefficients of the relevant generating series. The proposed version of analytic method does not require any analytic continuation of these series outside the convergence disk.