# 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}
}
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

## Mock theta functions and Appell–Lerch sums

• Journal of inequalities and applications
• 2018
VIEW 8 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 21 REFERENCES

• 2014

## Concave and convex compositions

GE Andrews
• Ramanujan J. 31, 67-82
• 2013