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In this essentially self-contained chapter we give a complete proof of the Prime Number Theorem. We follow the method of Newman, but also discuss Riemann’s original ideas to relate his \(\zeta \) function to the distribution of prime numbers.

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The Prime Number Theorem

  • 章节

  • 发表日期：

    2025年

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  • Davide Lombardo

摘要

In this essentially self-contained chapter we give a complete proof of the Prime Number Theorem. We follow the method of Newman, but also discuss Riemann’s original ideas to relate his \(\zeta \) function to the distribution of prime numbers.