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On the normal concentration of divisors, 2
Published online by Cambridge University Press: 06 July 2009
Abstract
We improve the current upper and lower bounds for the normal order of the Erdős–Hooley Δ–function obtaining, for almost all integers n, the inequalities where the exponent γ := (log 2)/log((1−1/log 27)/(1 − 1/log 3)) ≈ 0.33827 is conjectured to be optimal.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 3 , November 2009 , pp. 513 - 540
- Copyright
- Copyright © Cambridge Philosophical Society 2009
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