Invariants, Kronecker Products, and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)
arXiv:0810.0060
Abstract
This work lies across three areas (in the title) of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link consists of a single formal power series with a multifaced interpretation. The deeper exploration of this link yielded results as well as methods for solving some numerical problems in each of these separate areas.
33 pages, 5 figures