# Bilateral series in terms of mixed mock modular forms

@article{Chen2016BilateralSI, title={Bilateral series in terms of mixed mock modular forms}, author={Bin Chen and Haigang Zhou}, journal={Journal of Inequalities and Applications}, year={2016}, volume={2016}, pages={1-12} }

- Published 2016
DOI:10.1186/s13660-016-1054-8

The number of strongly unimodal sequences of weight n is denoted by u∗(n)$u^{*}(n)$. The generating functions for {u∗(n)}n=1∞$\{u^{*}(n)\}_{n=1}^{\infty}$ are U∗(q)=∑n=1∞u∗(n)qn$U^{*}(q)=\sum_{n=1}^{\infty}u^{*}(n)q^{n}$. Rhoades recently gave a precise asymptotic for u∗(n)$u^{*}(n)$ by expressing U∗(q)$U^{*}(q)$ as a mixed mock modular form. In this note, by revisiting the mixed mock modular form associated to U∗(q)$U^{*}(q)$, three new mixed mock modular forms are constructed by considering… CONTINUE READING

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