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arXiv 0810.0060math.COmath.RT
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一些著名丢番图系统的不变量、Kronecker积和组合学(扩展版)

Invariants, Kronecker Products, and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)

Adriano Garsia, Gregg Musiker, Nolan Wallach, Guoce Xin

摘要:

这项工作跨越三个领域(在标题中)的调查,本身是独立的利益。量子计算中出现的一个问题使我们找到了将这些领域联系在一起的联系。这种联系由一个单一的正式幂级数与多面解释。对这一联系的深入探索产生了结果,也产生了解决这些不同领域中一些数值问题的方法。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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