Partial sums of arithmetical functions with absolutely convergent Ramanujan expansions

Proceedings Mathematical Sciences

BISWAJYOTI SAHA¹ 

[1] Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 00 , India$$

关键词: Ramanujan expansions;    average order;    error terms;    sum-of-divisors functions;    Jordan’s totient functions;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown