Permanent formulae from the Veronesean
There is an obvious similarity between the two formulae for the permanent of a square matrix given by \textit{H. J. Ryser} [Combinatorial mathematics. Washington, D.C.: Mathematical Association of America (1963; Zbl 0112.24806)] and \textit{D. G. Glynn} [Eur. J. Comb. 31, No. 7, 1887--1891 (2010; Zbl 1209.15012)]. In this paper the author clarifies this relationship, making use of classic algebraic concepts (theorem of P. Serret), dependencies on the Veronesean (Veronese variety) and polarization identities for symmetric tensors. Using this, it is possible to obtain infinitely many such formulae.
scientific article; zbMATH DE number 6168437