Some Cauchy-like functional equations on the natural numbers (Q2754932)
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scientific article; zbMATH DE number 1668777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some Cauchy-like functional equations on the natural numbers |
scientific article; zbMATH DE number 1668777 |
Statements
5 November 2001
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Cauchy's functional equation
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Some Cauchy-like functional equations on the natural numbers (English)
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The functional equation \(f(am+bn)+f(0)=f(am)+f(bn)\) is solved for functions mapping from the set of natural numbers into an abelian group, where \(a\) and \(b\) are fixed relatively prime positive integers.
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