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.
Bibliographical noteFunding Information:
Project of the Ministry of Education, the Ministry
E-mail address: email@example.com (G. Xin). 1 The fourth named author was supported by the 973 Project, the PCSIRT of Science and Technology, and the National Science Foundation of China.
- Diophantine system
- Hilbert series
- Kronecker product