  In his book Topics in Analytic Number Theory, Rademacher considered the
generating function of partitions into at most $N$ parts, and conjectured
certain limits for the coefficients of its partial fraction decomposition. We
carry out an asymptotic analysis that disproves this conjecture, thus
confirming recent observations of Sills and Zeilberger (Journal of Difference
Equations and Applications 19, 2013), who gave strong numerical evidence
against the conjecture.
