Still another proof of Parseval's equation for almost-even arithmetical functions (Q1112871)
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scientific article; zbMATH DE number 4079561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Still another proof of Parseval's equation for almost-even arithmetical functions |
scientific article; zbMATH DE number 4079561 |
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Still another proof of Parseval's equation for almost-even arithmetical functions (English)
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1988
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Die Autoren geben eine neue Herleitung der Parsevalschen Gleichung für \(B^ 2\)-fastgerade Funktionen f. Der Beweis beruht auf einer ``besten Approximation'' von f durch gerade Funktionen, d.h. durch Linearkombinationen von Ramanujansummen \((r\in {\mathbb{N}})\) c\({}_ r: n\to \sum_{a mod r,\quad (a,r)=1}\exp (2\pi i(a/r)n).\)
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Parseval's equation
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\(B^ 2\)-almost-even arithmetical functions
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Ramanujan coefficients
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best approximation by even functions
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Ramanujan sums
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