积分Soddy球填充的局部-整体原理
The Local-Global Principle for Integral Soddy Sphere Packings
摘要：
设K是P中所有曲率的集合，如果n在K中，也就是说，如果P中存在曲率等于n的球面，则称n为表示数。一个数n被称为容许数，如果它在任何地方都是局部表示的，这意味着对于所有q，n都在K（mod q）中。它表明，每一个足够大的容许数表示。
英文摘要：
Fix an integral Soddy sphere packing P. Let K be the set of all curvatures in P. A number n is called represented if n is in K, that is, if there is a sphere in P with curvature equal to n. A number n is called admissible if it is everywhere locally represented, meaning that n is in K(mod q) for all q. It is shown that every sufficiently large admissible number is represented.
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。
