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A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard

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英文摘要

In this note, we review the history of Khintchine's Theorem which is the foundation of metric Diophantine approximation, and discuss several generalizations and recent breakthroughs in this area. We focus particularly on the direction of the Duffin-Schaeffer Conjecture which was spectacularly proven in 2020. We present some simplified key ideas of the proof that can also be applied in various other areas of number theory.

作者：Manuel Hauke

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学科分类：数学

推荐引用：Manuel Hauke.A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard[EB/OL].(2025-05-13)[2025-07-16].https://arxiv.org/abs/2505.08901.点此复制

A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard

A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard

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