Smooth integers and de Bruijn's approximation Ʌ
This paper is concerned with the relationship of 𝑦-smooth integers and de Bruijn's approximation Λ(𝑥, 𝑦). Under the Riemann hypothesis, Saias proved that the count of 𝑦-smooth integers up to 𝑥, Ψ(𝑥, 𝑦), is asymptotic to Λ(𝑥, 𝑦) when 𝑦 ≥ (log 𝑥)<sup>2+𝜀</sup>. We extend the range to...
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| Format: | Journal article |
| Language: | English |
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Cambridge University Press
2023
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