真正的哈代-拉马努金公式会站起来吗？
Will the real Hardy-Ramanujan formula please stand up?
摘要：
关于$n$的整数分拆数的Hardy-Ramanujan公式是分拆理论中最流行的结果之一。虽然未删节的最后公式已被誉为反映其作者的天才，它已成为太常见的属性要么一些简化版本的公式，这是不那么巧妙，或替代更优雅的版本，这是扩大了后来由其他作者。我们试图提供一个明确的和令人信服的理由来区分各种公式和简化，并在最后一节中总结了关键要点。
英文摘要：
The Hardy-Ramanujan formula for the number of integer partitions of $n$ is one of the most popular results in partition theory. While the unabridged final formula has been celebrated as reflecting the genius of its authors, it has become all too common to attribute either some simplified version of the formula which is not as ingenious, or an alternative more elegant version which was expanded on afterwards by other authors. We attempt to provide a clear and compelling justification for distinguishing between the various formulas and simplifications, with a summarizing list of key take-aways in the final section.
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。
