Bernoulli numbers and solitons

M-P. Grosset; A. P. Veselov

doi:10.2991/jnmp.2005.12.4.3

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Bernoulli numbers and solitons

M-P. Grosset·A. P. Veselov

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Abstract

We present a new formula for the Bernoulli numbers as the following integral $$B_{2m} =\frac{(-1)^{m-1}}{2^{2m+1}} \int_{-\infty}^{+\infty} (\frac{d^{m-1}}{dx^{m-1}} {sech}^2 x)^2dx. $$ This formula is motivated by the results of Fairlie and Veselov, who discovered the relation of Bernoulli polynomials with soliton theory.

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BibTeX RIS

M-P. Grosset, A. P. Veselov. 2005-03-09. Bernoulli numbers and solitons. https://doi.org/10.2991/jnmp.2005.12.4.3

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