On the Duffin-Schaeffer conjecture
Let ψ : N → R>0 be an arbitrary function from the positive integers to the nonnegative reals. Consider the set A of real numbers α for which there are infinitely many reduced fractions a/q such that |α − a/q| 6 ψ(q)/q. If P∞ q=1 ψ(q)ϕ(q)/q = ∞, we show that A has full Lebesgue measure. This answe...
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
Princeton University, Department of Mathematics
2020
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