3 papers
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
Asymptotic distribution of odd-balanced unimodal sequences with rank congruent to a mod c
Taylor Garnowski
We compute an asymptotic estimate for odd balanced unimodal sequences for ranks congruent to for odd. We find the interesting result that the odd balanced un…
math.NT2021
Asymptotics of Bailey-type mock theta functions
Taylor Garnowski
We compute asymptotic estimates for the Fourier coefficients of two mixed mock modular forms, which come from Bailey pairs derived by Lovejoy and Osburn. To do so, we employ the ci…