Explicit bounds for Dickman's function
classification
🧮 math.NT
math.CA
keywords
boundsdickmanexplicitfunctionnumericallyallowsapproximatedelay
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We establish numerically explicit upper and lower bounds for Dickman's function $\rho(u)$, resulting in estimates with a relative error of less than $0.005/u^2$ for all $u\ge 5$. This allows for an approximate evaluation of $\rho(u)$ without the need to solve the delay differential equation numerically.
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