Integral powers of the Sturm-Liouville operator and the theory of partitions
We use unrestricted partitions and a recurrence relation to specify every term of every integral power of the Sturm-Liouville (or one-dimensional Schrödinger) operator. Our purpose is to exhibit techniques that might yield proofs of our combinatorial conjectures on the conservation laws of the Korteweg-de Vries equation. At the end some open problems are stated.
scientific article; zbMATH DE number 4019493