The Selberg-Delange method in short intervals with an application

• Autorzy: Z. Cui , J. Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 163
• Numer: 3
• Strony: 247-260

Daty

wydano

2014

Twórcy

autor

Z. Cui

• Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China

autor

J. Wu

• School of Mathematics, Shandong University, Jinan, Shandong 250100, China
• 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

Identyfikatory

DOI

10.4064/aa163-3-4