The error term of the sum of digital sum functions, in arbitrary bases
Let k be a non-negative integer and p>1 be a positive integer. Let sₚ(k) be the sum of digits of k written in base p. In 1940, Bush proved that Aₚ(x)=Σₖ≤ₓsₚ(k) is asymptotic to ((p-1)/2)xlogₚx. In 1968, Trollope proved an explicit formula for the error term of A₂(n-1), labeled by -E₂(n), where n is...
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| Glavni autori: | , |
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| Format: | Artigo |
| Jezik: | Inglês |
| Izdano: |
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
2024-05-01
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| Serija: | Notes on Number Theory and Discrete Mathematics |
| Teme: | |
| Online pristup: | https://nntdm.net/papers/nntdm-30/NNTDM-30-2-311-318.pdf |
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