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arxiv: 2208.06650 · v2 · pith:YKZQ77CK · submitted 2022-08-13 · math.NT · math.CO

Some congruences from the Karlsson-Minton summation formula

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classification math.NT math.CO
keywords formulakarlsson-mintonsomesummationconfirmcongruencesconjecturesdeines-fuselier-long-swisher-tu
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Let $p$ be an odd prime. In this paper, by using the well-known Karlsson-Minton summation formula, we mainly prove two supercongruences as variants of a supercongruence of Deines-Fuselier-Long-Swisher-Tu, which confirm some recent conjectures of V.J.W. Guo.

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