On a conjecture of B. L. van der Waerden
Marvin D. Marcus, Henryk Minc · Mathematical Proceedings of the Cambridge Philosophical Society · 1967
Let Ωn be the set of all n-square doubly stochastic matrices, i.e. matrices with non-negative entries all of whose row sums and column sums are 1. If A = (aij) is an n-square matrix let per (A) denote the permanent of A, that is.