Macdonald, I.G. (1962) The Poincaré Polynomial of a Symmetric Product. Mathematical Proceedings of the Cambridge Philosophical Society, 58, 563-568.
https://doi.org/10.1017/S0305004100040573

has been cited by the following article:

• TITLE: Symmetric Functions and q-Products with an Application to Theoretical Physics

  AUTHORS: Maria E. X. Guimarães

  KEYWORDS: Poincaré q-Polynomials, Patterson-Selberg Spectral Functions, Ruelle Spectral Functions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.5, May 18, 2021

  ABSTRACT: The main purpose of this paper is to show that the Poincaré q-polynomials admit a representation in terms of the symmetric functions and the Patterson-Selberg (or Ruelle-type) spectral functions. We have shown that the q-series elliptic genera can be expressed in terms of q-analogs of the classical special functions, specially the equivalence between the spectral Patterson-Selberg and the Ruelle functions. The main result of this manuscript is to show that this representation can be used in theoretical physics and we analyze them in terms of the Patterson-Selberg spectral function R (s).