论文标题

一种通过符号计算来验证分区一致性的方法

A Method of Verifying Partition Congruences by Symbolic Computation

论文作者

Radu, Cristian-Silviu, Smoot, Nicolas Allen

论文摘要

即使使用计算机,涉及无限分区一致性家庭的猜想也很难验证许多个别情况。我们演示了如何修改RADU算法的机械,以有效地检查大量这种猜想的情况。在尝试完整的证据之前,这允许为给定的猜想收集大量证据。

Conjectures involving infinite families of restricted partition congruences can be difficult to verify for a number of individual cases, even with a computer. We demonstrate how the machinery of Radu's algorithm may be modified and employed to efficiently check a very large number of cases of such conjectures. This allows substantial evidence to be collected for a given conjecture, before a complete proof is attempted.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源