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.

引用

页码：469 / 474

页数：6

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