2012•Journal of Neijiang Normal UniversityRequires access

The Derivation of the Explicit Formula of Bernoulli Number by Elementary Method

Xinmin Wang

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Abstract

First the explicit formula for positive integer's power sum is given,and the relevant conclusions are then proved through the use of mathematical induction,from which an explicit formula of Bernoulli number is thus worked out.

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What this paper is about

First the explicit formula for positive integer's power sum is given,and the relevant conclusions are then proved through the use of mathematical induction,from which an explicit formula of Bernoulli number is thus worked out.

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Available abstract

First the explicit formula for positive integer's power sum is given,and the relevant conclusions are then proved through the use of mathematical induction,from which an explicit formula of Bernoulli number is thus worked out.

Key concepts: Bernoulli's principle, Bernoulli number, Integer (computer science), Mathematics, Bernoulli process, Bernoulli differential equation, Explicit formulae, Power (physics)

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