A general congruence theorem relating to the Bernoullian function. (Q1509372)
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scientific article; zbMATH DE number 2662338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general congruence theorem relating to the Bernoullian function. |
scientific article; zbMATH DE number 2662338 |
Statements
A general congruence theorem relating to the Bernoullian function. (English)
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1901
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Verf. beweist zwei Formeln für \(r^{p-1} B_{p-1} \left( \frac lr \right)\) und \(r^{p-1} A_{p-1}' \left( \frac lr \right)\), welche den früher (vergl. F. d. M. 31, 186-187, 1900, JFM 31.0186.04) von ihm für \(r^p B_p \left( \frac lr \right)\) und \(r^p A_p' \left( \frac lr \right)\) hergeleiteten analog sind; über die Bedeutung der Zeichen vergl. das erwänhte Referat. Besonders ausführlich untersucht Verf. den Rest von \(B_{p-1} \left( \frac 1r \right)\) modulo \(p\).
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Bernoulli numbers
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congruences
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