Konvergenz von Teilen der harmonischen Reihe. (Convergence of parts of the harmonic series) (Q1179483)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Konvergenz von Teilen der harmonischen Reihe. (Convergence of parts of the harmonic series) |
scientific article; zbMATH DE number 24703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Konvergenz von Teilen der harmonischen Reihe. (Convergence of parts of the harmonic series) |
scientific article; zbMATH DE number 24703 |
Statements
Konvergenz von Teilen der harmonischen Reihe. (Convergence of parts of the harmonic series) (English)
0 references
26 June 1992
0 references
Let \(d, j\) and \(k\) be integers such that \(d\geq 2\), \(0\leq j\leq d-1\), \(k\geq 0\) and let \(M\) be the set of all positive integers in which representation by decimals in the scale \(d\) the digit \(j\) occurs at most \(k\) times. The author proves that the series \(\sum_{n\in M}1/n\) converges and obtains some estimates for its sum.
0 references
harmonic series
0 references
decimals in a given scale
0 references
primes
0 references
g-adic representation
0 references
0.831582248210907
0 references
0.8240355849266052
0 references
0.7963071465492249
0 references
