Construct · 1 fields · 1 citations

Duffin-Schaeffer conjecture: a standalone construct

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Number theory

a divergence criterion deciding when almost every real number has infinitely many reduced rational approximations within a prescribed error.

In number theory, Duffin-Schaeffer conjecture refers to a divergence criterion deciding when almost every real number has infinitely many reduced rational approximations within a prescribed error. This meaning comes from Duffin (1941) in Duke Mathematical Journal.[1]

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Nearby constructs

divergence4 fields · 4 citationsjingle · one word, four constructs error4 fields · 8 citationsjingle · one word, four constructs number3 fields · 6 citationsjingle · one word, three constructs

References

Duffin, R. J., & Schaeffer, A. C. (1941). Khintchine’s problem in metric Diophantine approximation. Duke Mathematical Journal, 8(2). https://doi.org/10.1215/s0012-7094-41-00818-9

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