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Bernoulli Numbers

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Zenodo2025-05-31 更新2026-05-26 收录
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Bernoulli numbers are a sequence of rational numbers first discovered by Jacob Bernoulli (1654–1705). This paper presents: The historical context of Bernoulli numbers, Key observations regarding their properties, Bernoulli polynomials and their connection to Bernoulli numbers, The relationship between Bernoulli numbers and the cotangent function, The generating function for Bernoulli numbers, A proof of the formula for sums of *m*-th powers of positive integers using the Euler–Maclaurin summation formula.

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2025-05-31
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