On multiplicative functions with bounded partial sums (Q2911037)
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scientific article; zbMATH DE number 6081413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On multiplicative functions with bounded partial sums |
scientific article; zbMATH DE number 6081413 |
Statements
12 September 2012
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multiplicative functions
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Erdős discrepancy problem
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bounded partial sums
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On multiplicative functions with bounded partial sums (English)
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Let \(P\) a set of primes. The author calls an arithmetical function \(f: \mathbb N\to\mathbb C\) \(P\)-multiplicative, if \(f(pn)= f(p)f(n)\), \(p\in P\), \(n\in\mathbb N\). He discusses a special case of the Erdős discrepancy problem: he constructs for every finite \(P\) a \(P\)-multiplicative function \(f: \mathbb N\to\{1, -1\}\) with bounded partial sums.
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