• Real Moments of the Restrictive Factor

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/119/04/0559-0566

• # Keywords

Strong restrictive factor; arithmetic functions; Dirichlet series; Riemann zeta-function.

• # Abstract

Let 𝜆 be a real number such that $0 &lt; \lambda &lt; 1$. We establish asymptotic formulas for the weighted real moments $\sum_{n\leq x}R^\lambda(n)(1-n/x)$, where $R(n)=\prod^k_{v=1}p^{\alpha v-1}_v$ is the Atanassov strong restrictive factor function and $n=\prod^k_{v=1}p^{\alpha v}_v$ is the prime factorization of 𝑛.

• # Author Affiliations

1. Department of Mathematics University of Rochester, Hylan Building, Rochester, New York 14627-0138, USA
2. Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, MC-382, 1409 W. Green Street, Urbana, Illinois 61801-2975, USA

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019