Title: Disproof of a conjecture by Rademacher on partial fractions

Speaker: Dr. Stefan Gerhold, Technical University of Vienna

Time and Location: Wednesday, January 8, 2014
                   2:00 pm, Seminar room pond, RISC, Hagenberg


Abstract

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. Joint work with
Michael Drmota.