The Selberg-Delange method in short intervals with some applications - Archive ouverte HAL
Article Dans Une Revue Science China Mathematics Année : 2019

The Selberg-Delange method in short intervals with some applications

Résumé

In this paper, we establish a quite general mean value result of arithmetic functions over short intervals with the Selberg-Delange method and give some applications. In particular, we generalize Selberg's result on the distribution of integers with a given number of prime factors and Deshouillers-Dress-Tenenbaum's arcsin law on divisors to the short interval case.
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Dates et versions

hal-02322986 , version 1 (21-10-2019)

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Zhen Cui, Guangshi Lü, Jie Wu. The Selberg-Delange method in short intervals with some applications. Science China Mathematics, 2019, 62 (3), pp.447-468. ⟨10.1007/s11425-017-9172-7⟩. ⟨hal-02322986⟩
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