论文标题
一致性Gordon和McIntosh模拟theta函数$ξ（q）$的系数
Congruences for the coefficients of the Gordon and McIntosh mock theta function $ξ(q)$
论文作者
论文摘要
最近，戈登（Gordon）和麦金托什（McIntosh）介绍了由$$ξ（q）= 1+2 \ sum_ {n = 1}^{\ infty} \ frac {q^{6n n^2-6n^2-6n+1}}} {（q; q^6）{n} n} n}（q^n}（q^5）}（q^5） $$我们在本文中的目标是研究该功能系数的算术特性。我们介绍了许多此类属性，包括几个无限的Ramanujan家族（类似的一致性）。
Recently Gordon and McIntosh introduced the third order mock theta function $ξ(q)$ defined by $$ ξ(q)=1+2\sum_{n=1}^{\infty}\frac{q^{6n^2-6n+1}}{(q;q^6)_{n}(q^5;q^6)_{n}}. $$ Our goal in this paper is to study arithmetic properties of the coefficients of this function. We present a number of such properties, including several infinite families of Ramanujan--like congruences.
