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| On a Supercongruence Conjecture of Z.-W. Sun* |
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Citation： |
Guo-shuai MAO.On a Supercongruence Conjecture of Z.-W. Sun*[J].Chinese Annals of Mathematics B,2022,43(3):417~424 |
| Page view： 538
Net amount： 514 |
Authors： |
Guo-shuai MAO; |
Foundation： |
National Natural Science Foundation of China (Nos. 12001288,12071208) |
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| Abstract： |
In this paper, the author partly proves a supercongruence conjectured by Z.-W.Sun in 2013. Let p be an odd prime and let a ∈ Z+. Then, if p ≡ 1 (mod 3),k=0 6pa 2k k/16k ≡ 3/pa(modp2) is obtained, where is the Jacobi symbol. |
Keywords： |
Supercongruences, Binomial coefficients, Fermat quotient, Jacobi symbol |
Classification： |
11A07, 05A10, 11B65 |
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