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A PROBABILISTIC PROOF OF EULER'S FORMULA FOR zeta (2n)

Bao Quoc Ta,Chung Pham Van

MATHEMATICAL REPORTS（2019）

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Abstract
In this paper, we utilize the probabilistic approach to Bernoulli polynomials to give a new proof of Euler's formula for zeta (2n), where n is a positive integer.
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Key words
Appell polynomials,Euler formula,Bernoulli polynomials,zeta function,Laplace random variable
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