In this paper, we establish a new q-congruence with parameters modulo the fourth power of a cyclotomic polynomial from Watson's ${}_8\varphi _7$ transformation. Taking parameters substitution in our new q-congruence, we present a q-analogue of the (D.2) supercongruence of Van Hamme and several different q-analogues of He's supercongruence for $p\equiv 1(\mathrm{mod}3)$. Finally, we propose a Dwork-type supercongruence conjecture on He's supercongruence.

中文翻译：

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q-两个Ramanujan型超同余的模拟

在本文中，我们建立了一个新的q-同余性，其参数取自Watson's算子的多项式多项式的四次幂${}_8\varphi _7$转型。以参数替代在我们的新q同余，我们提出了一个q凡Hamme的几个不同的（D.2）supercongruence的-analogue q他的supercongruence为-analogues$p\equiv \mathrm{1个}（\mathrm{国防部}3）$。最后，我们针对He的超一致性提出了Dwork型超一致性猜想。