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math.NT2021
Asymptotics for the twisted eta-product and applications to sign changes in partitions
Walter Bridges, Johann Franke, Taylor Garnowski
We prove asymptotic formulas for the complex coefficients of , where is a root of unity, and apply our results to determine secondary terms in the asymptoti…
math.NT2021
Statistics for Unimodal Sequences
Walter Bridges, Kathrin Bringmann
We prove a number of limiting distributions for statistics for unimodal sequences of positive integers by adapting a probabilistic framework for integer partitions introduced by Fr…