Bernoulli numbers and solitons

被引：12
|
作者：
Grosset, MP [1 ]
Veselov, AP
机构：
[1] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
[2] LD Landau Theoret Phys Inst, Moscow, Russia
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2005年 / 12卷 / 04期
关键词：
D O I：
10.2991/jnmp.2005.12.4.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new formula for the Bernoulli numbers as the following integral B-2m = (-1)(m-1)/2(2m+1) integral(-infinity)(+infinity) (d(m-1)/dx(m-1) sech(2) x)(2) dx. 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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页码：469 / 474
页数：6
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