Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 4, November 2005, Pages 469 - 474

Bernoulli Numbers and Solitons

Authors
Marie-Pierre Grosset, Alexander P. Veselov
Corresponding Author
Marie-Pierre Grosset
Received 18 March 2005, Accepted 18 April 2005, Available Online 1 November 2005.
DOI
10.2991/jnmp.2005.12.4.3How to use a DOI?
Abstract

We present a new formula for the Bernoulli numbers as the following integral B2m = (-1)m-1 22m+1 +( dm-1 dxm-1 sech2 x)2 dx. This formula is motivated by the results of Fairlie and Veselov, who discovered the relation of Bernoulli polynomials with soliton theory. Dedicated to Hermann Flaschka on his 60th birthday

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 4
Pages
469 - 474
Publication Date
2005/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.4.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Marie-Pierre Grosset
AU  - Alexander P. Veselov
PY  - 2005
DA  - 2005/11/01
TI  - Bernoulli Numbers and Solitons
JO  - Journal of Nonlinear Mathematical Physics
SP  - 469
EP  - 474
VL  - 12
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.4.3
DO  - 10.2991/jnmp.2005.12.4.3
ID  - Grosset2005
ER  -