A q-analogue of Sun's supercongruence relating two truncated sums
A q-analogue of Sun's supercongruence relating two truncated sums
Let be a positive odd integer, let be an indeterminate, let be the th cyclotomic polynomial, and use and . q-analogue of Sun's supercongruence. One should have
This is proposed as a -analogue of a known congruence for odd primes, motivated by related results of Guo, Zeng, Pan, Zhang, and Tauraso. The paper states that no such -analogue was known, even conjecturally, before this proposal.
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Primary source
Victor J. W. Guo, “q-Analogues of some supercongruences related to Euler numbers”, arXiv:2010.13526 (2020).
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