论文标题
质数定理是复杂分析课程中的顶峰
The Prime Number Theorem as a Capstone in a Complex Analysis Course
论文作者
论文摘要
我们提供了适用于典型的本科或研究生级复杂分析课程的质量定理的详细证明。我们的演讲对于任何试图使用质数定理进行一系列顶峰讲座的讲师特别有用，这是一系列指导练习的脚手架，或作为基于查询课程的框架。我们几乎不需要数字理论的知识，因为我们的目的是为复杂分析讲师广泛访问的质数定理的完整证明。特别是，我们强调了潜在的陷阱和微妙之处，这些陷阱和微妙之处可能在使用更多TERSE来源时可能会吸引讲师。
We present a detailed proof of the prime number theorem suitable for a typical undergraduate- or graduate-level complex analysis course. Our presentation is particularly useful for any instructor who seeks to use the prime number theorem for a series of capstone lectures, a scaffold for a series of guided exercises, or as a framework for an inquiry-based course. We require almost no knowledge of number theory, for our aim is to make a complete proof of the prime number theorem widely accessible to complex analysis instructors. In particular, we highlight the potential pitfalls and subtleties that may catch the instructor unawares when using more terse sources.
