The Duffin-schaeffer Conjecture with Extra Divergence
نویسندگان
چکیده
Throughout this note we will use the following standard notation from elementary number theory: p denotes a prime number, μ(n) is the Möbius function, φ(n) is the Euler phi function, ω(n) denotes the number of distinct prime divisors of n, and τ(n) is the number of positive integers which divide n. Also we use λ to denote Lebesgue measure on R/Z and dimX to denote the Hausdorff dimension of a set X. Let ψ : N → R be a nonnegative arithmetical function and for each positive integer n define En ⊆ R/Z by En := n
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