The next talk is by Liuquan Wang of Wuhan University.

**Talk announcement**

Title: Parity of coefficients of mock theta functions

**Speaker:**Liuquan Wang (Wuhan University, PRC)

**When:**March 4, 2021 - 3:55 PM - 5:00 PM (IST)

**Where:**Zoom: Please write to sfandnt@gmail.com for a link or watch here:

**Tea or Coffee**: Please bring your own.

**Abstract:** We study the parity of coefficients of classical mock theta functions. Suppose $g$ is a formal power series with integer coefficients, and let $c(g;n)$ be the coefficient of $q^n$ in its series expansion. We say that $g$ is of parity type $(a,1-a)$ if $c(g;n)$ takes even values with probability $a$ for $n\geq 0$. We show that among the 44 classical mock theta functions, 21 of them are of parity type $(1,0)$. We further conjecture that 19 mock theta functions are of parity type $(\frac{1}{2},\frac{1}{2})$ and 4 functions are of parity type $(\frac{3}{4},\frac{1}{4})$. We also give characterizations of $n$ such that $c(g;n)$ is odd for the mock theta functions of parity type $(1,0)$.

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