本文研究了若干特殊的theta函数和q-级数.利用它们定义的特殊形式,建立了几类特殊的q-级数与Ramanujan Tau函数的生成函数的关系,从而得到了几个Ramanujan Tau函数新的显式表达式.最后作为定理的应用,还得到了一个有关Ramanujan Tau函数的同余恒等式.%In this paper,we study several theta functions and q-series.Utilizing the special forms of their definitions,we construct some relations between some q-series and the Ramanujan's tau function.In particular,we obtain two new explicit expressions for the Ramanujan's tau function.Lastly,as the application of our theorem,we get a new congruence of Ramanujan's tau function.
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