Duffin–Schaeffer theorem

Summary

Duffin–Schaeffer theorem is a conjecture^[1]. It draws 12 Wikipedia views per month (conjecture category, ranking #46 of 128).^[2]

Key Facts

• Duffin–Schaeffer theorem's instance of is recorded as conjecture^[3].
• Albert Charles Schaeffer is named after Duffin–Schaeffer theorem^[4].
• Richard Duffin is named after Duffin–Schaeffer theorem^[5].
• Duffin–Schaeffer theorem's Freebase ID is recorded as /m/0gjcrgy^[6].
• Duffin–Schaeffer theorem's defining formula is recorded as 0=\mu\left(\left{\alpha\in\mathbb R\colon\lnot\left(|{(p,q)\colon|\alpha-p/q|<f(q)/q}|=\aleph_0\iff\sum_{q=1}^\infty f(q)\varphi(q)/q=\infty\right) \right}\right)<sup id="cite-C14" class="cite-ref" title="Duffin–Schaeffer theorem — defining formula (P2534): 0=\mu\left(\left{\alpha\in\mathbb R\colon\lnot\left(|{(p,q)\colon|\alpha-p/q|[7].
• Duffin–Schaeffer theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[8].
• Duffin–Schaeffer theorem's Microsoft Academic ID is recorded as 2780667702^[9].
• Duffin–Schaeffer theorem's Encyclopedia of Mathematics article ID is recorded as Duffin-Schaeffer_conjecture^[10].

Body

Designation and Status

Duffin–Schaeffer theorem's instance of is recorded as conjecture^[3].

History and Context

Things named after include Albert Charles Schaeffer^[4], a mathematician^[11], 1907–1957^[12], of United States^[13], awarded the Bôcher Memorial Prize^[14] and Richard Duffin^[5], a physicist^[15], 1909–1996^[16], of United States^[17], awarded the John von Neumann Theory Prize^[18], specialised in physics^[19].

Why It Matters

Duffin–Schaeffer theorem draws 12 Wikipedia views per month (conjecture category, ranking #46 of 128).^[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[20]