English

A New Class of Relations for Homogeneous Symmetric Polynomials

Number Theory 2025-12-24 v2

Abstract

Recently we introduced a new class of relations for Bernoulli symmetric polynomials. This manuscript shows that these relations are valid for arbitrary homogeneous symmetric polynomial. Analysis of these relations leads to the discovery of a new type of nonlinear relations for the Bernoulli numbers.

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Cite

@article{arxiv.2510.25749,
  title  = {A New Class of Relations for Homogeneous Symmetric Polynomials},
  author = {Boris Y. Rubinstein},
  journal= {arXiv preprint arXiv:2510.25749},
  year   = {2025}
}

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16 pages