A New Class of Relations for Homogeneous Symmetric Polynomials

Boris Y. Rubinstein

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arXiv · 2510.25749

A New Class of Relations for Homogeneous Symmetric Polynomials

Boris Y. Rubinstein

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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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Boris Y. Rubinstein. 2025-10-29. A New Class of Relations for Homogeneous Symmetric Polynomials. https://arxiv.org/abs/2510.25749

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