Geodesic
The Selberg–Delange method in short intervals with an application
Z. Cui1 ; J. Wu2
1Department of Mathematics Shanghai Jiao Tong University Shanghai, China
2School 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

Voir la notice de l'article

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 
@article{10_4064_aa163_3_4,
     author = {Z. Cui and J. Wu},
     title = {The {Selberg{\textendash}Delange} method in short intervals
 with an application},
     journal = {Acta Arithmetica},
     pages = {247--260},
     year = {2014},
     volume = {163},
     number = {3},
     doi = {10.4064/aa163-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa163-3-4/}
}
TY  - JOUR
AU  - Z. Cui
AU  - J. Wu
TI  - The Selberg–Delange method in short intervals
 with an application
JO  - Acta Arithmetica
PY  - 2014
SP  - 247
EP  - 260
VL  - 163
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa163-3-4/
DO  - 10.4064/aa163-3-4
LA  - en
ID  - 10_4064_aa163_3_4
ER  - 
%0 Journal Article
%A Z. Cui
%A J. Wu
%T The Selberg–Delange method in short intervals
 with an application
%J Acta Arithmetica
%D 2014
%P 247-260
%V 163
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/aa163-3-4/
%R 10.4064/aa163-3-4
%G en
%F 10_4064_aa163_3_4
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

Cité par Sources :