• Partial sums of arithmetical functions with absolutely convergent Ramanujan expansions

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/126/03/0295-0303

• # Keywords

Ramanujan expansions, average order, error terms, sum-of-divisors functions, Jordan’s totient functions

• # Abstract

For an arithmetical function $f$ with absolutely convergent Ramanujan expansion, we derive an asymptotic formula for the $\sum_{n\leq N}$ f(n)\$ with explicit error term. As a corollary we obtain new results about sum-of-divisors functions and Jordan’s totient functions.

• # Author Affiliations

1. Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019