A note on Bernoulli numbers (Q5917699)
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scientific article; zbMATH DE number 798704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Bernoulli numbers |
scientific article; zbMATH DE number 798704 |
Statements
A note on Bernoulli numbers (English)
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1 February 1996
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The author strengthens the Sylvester-Lipschitz theorem for Bernoulli numbers \(B_m\) as follows: ``For an integer \(a\) and a positive integer \(m\) the number \(a^{[\log_2 m]+1} (a^m- 1)B_m/ m\) is an integer.'' It is noted that in a certain sense this strengthening of the Sylvester- Lipschitz theorem is the best possible.
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Sylvester-Lipschitz theorem
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Bernoulli numbers
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