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Mathematics > Combinatorics

Title: Two curious q-supercongruences and their extensions

Abstract: We prove two single-parameter q-supercongruences which were recently conjectured by Guo, and establish their further extensions with one more parameter. Crucial ingredients in the proof are the terminating form of q-binomial theorem and a Karlsson-Minton type summation formula due to Gasper. Incidentally, an assertion of Wang, Li and Tang is also verified by establishing its q-analogue.
Comments: 11 pages
Subjects: Combinatorics (math.CO)
Cite as: arXiv:2304.00960 [math.CO]
  (or arXiv:2304.00960v1 [math.CO] for this version)

Submission history

From: Haihong He [view email]
[v1] Mon, 3 Apr 2023 13:26:47 GMT (10kb)

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