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Proof of Some q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
Results in Mathematics ( IF 2.2 ) Pub Date : 2020-05-15 , DOI: 10.1007/s00025-020-01203-6 Victor J. W. Guo
Results in Mathematics ( IF 2.2 ) Pub Date : 2020-05-15 , DOI: 10.1007/s00025-020-01203-6 Victor J. W. Guo
We prove some q-supercongruences modulo the fourth power of a cyclotomic polynomial by making use of the Chinese remainder theorem for coprime polynomials, Watson’s $$_8\phi _7$$ transformation, and the ‘creative microscoping’ method introduced by the author and Wadim Zudilin. In particular, we confirm Conjecture 1.5 in (Results Math 74:131, 2019).
更新日期：2020-05-15
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