Geodesic
The Selberg–Delange method in short intervals with an application
Z. Cui 1   ; J. Wu 2
1 Department of Mathematics Shanghai Jiao Tong University Shanghai, China
2 School of Mathematics Shandong University Jinan, Shandong 250100, China and CNRS Institut Élie Cartan de Lorraine, UMR 7502 54506 Vandœuvre-lès-Nancy, France Current address: Université de Lorraine Institut Élie Cartan de Lorraine, UMR 7502 54506 Vandœuvre-lès-Nancy, France
Acta Arithmetica, Tome 163 (2014) no. 3, pp. 247-260 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We establish a general mean value result for arithmetic functions over short intervals with the Selberg–Delange method. As an application, we generalize the Deshouillers–Dress–Tenenbaum arcsine law on divisors to the short interval case.
DOI : 10.4064/aa163-3-4
Keywords: establish general mean value result arithmetic functions short intervals selberg delange method application generalize deshouillers dress tenenbaum arcsine law divisors short interval

Z. Cui  1   ; J. Wu  2

1 Department of Mathematics Shanghai Jiao Tong University Shanghai, China
2 School of Mathematics Shandong University Jinan, Shandong 250100, China and CNRS Institut Élie Cartan de Lorraine, UMR 7502 54506 Vandœuvre-lès-Nancy, France Current address: Université de Lorraine Institut Élie Cartan de Lorraine, UMR 7502 54506 Vandœuvre-lès-Nancy, France 
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     title = {The {Selberg{\textendash}Delange} method in short intervals
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     journal = {Acta Arithmetica},
     pages = {247--260},
     year = {2014},
     volume = {163},
     number = {3},
     doi = {10.4064/aa163-3-4},
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     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa163-3-4/}
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 with an application
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Z. Cui; J. Wu. The Selberg–Delange method in short intervals
 with an application. Acta Arithmetica, Tome 163 (2014) no. 3, pp. 247-260. doi: 10.4064/aa163-3-4

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