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Bernoulli numbers and solitons

Journal of Nonlinear Mathematical Physics (2005) 12(4) 469-474
DOI: 10.2991/jnmp.2005.12.4.3
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Abstract

We present a new formula for the Bernoulli numbers as the following integral B2m = (-1)m-1/22m-1 ∫ -∞+∞ (dm-1/dx m-1sech2x)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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Grosset, M. P., & Veselov, A. P. (2005). Bernoulli numbers and solitons. Journal of Nonlinear Mathematical Physics, 12(4), 469–474. https://doi.org/10.2991/jnmp.2005.12.4.3

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