Asymptotics of Landau--Okhotin function

F. Petrov

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arXiv · 2209.07362

Asymptotics of Landau--Okhotin function

F. Petrov

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Abstract

Landau function $g(n)$ is the maximal possible least common multiple of several positive integers with sum not exceeding $n$. Under additional assumptions that these numbers are the differences of disjoint bi-infinite arithmetic progressions the maximum is denoted $\tilde{g}(n)$, it was introduced by Okhotin. We find a sharp logarithmic asymptotics of $\tilde{g}(n)$.

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F. Petrov. 2022-09-15. Asymptotics of Landau--Okhotin function. https://arxiv.org/abs/2209.07362

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