Congruences Involving Special Sums of Triple Reciprocals
Define the sums of triple reciprocals Zn=∑i+j+k=n1/ijk,i,j,k≥1. Zhao discovered the following curious congruence for any odd prime p, Zp≡−2Bp−3mod p. Xia and Cai extended the above congruence to modulo p2,Zp≡12Bp−3/p−3−3B2p−4/p−2mod p2, where p>5 is a prime. In this paper, we consider the congrue...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/8445635 |