Congruences for harmonic sums
Zhao found a curious congruence modulo p on harmonic sums. Xia and Cai generalized his congruence to a supercongruence modulo p². In this paper, we improve the harmonic sums Hₚ(n)=Σ_{l₁+l₂+...+lₙ=p, l₁,l₂,...,lₙ>0} 1/l₁+l₂+...+lₙ to supercongruences modulo p³ and p⁴ for odd and even where prime p>8...
I tiakina i:
| Ngā kaituhi matua: | , |
|---|---|
| Hōputu: | Artigo |
| Reo: | Inglês |
| I whakaputaina: |
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
2023-03-01
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| Rangatū: | Notes on Number Theory and Discrete Mathematics |
| Ngā marau: | |
| Urunga tuihono: | https://nntdm.net/papers/nntdm-29/NNTDM-29-1-137-146.pdf |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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