Some congruences from the Karlsson-Minton summation formula

Chen Wang; Junhang Li; Yezhenyang Tang

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Some congruences from the Karlsson-Minton summation formula

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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

Junhang Li , Yezhenyang Tang , Chen Wang This is my paper

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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.

Some congruences from the Karlsson-Minton summation formula

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