Recently, Wang and Yue gave a q-analogue of the (A.2) supercongruence of Van Hamme for any prime \(p\equiv 3\pmod {4}\) by using a q-analogue of Watson’s \(_3F_2\) summation and the creative microscoping method, devised by the author and Zudilin. In this note, we give the corresponding q-analogue of the (A.2) supercongruence of Van Hamme for all primes \(p\equiv 1\pmod {4}\) in the same manner. A supercongruence conjecture similar to the (A.3) conjecture of Swisher is also presented.

中文翻译：

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Van Hamme的（A.2）超同余素数$$ p \ equiv 1 \ pmod {4} $$p≡1（mod4）的q模拟

最近，Wang和Yue通过使用Watson的\（_ 3F_2 \）的q-模拟给出了范哈姆（A.2）对任何素数\（p \ equiv 3 \ pmod {4} \）的超同余的q-模拟。作者和Zudilin设计的总结和创新的微范围方法。在此注释中，我们以相同的方式给出了所有素数\（p \ equiv 1 \ pmod {4} \）的Van Hamme（A.2）超同余的相应q-模拟。还提出了类似于Swisher（A.3）猜想的超同构猜想。