• Partial sums of arithmetical functions with absolutely convergent Ramanujan expansions

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      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

       

      BISWAJYOTI SAHA1

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

       
  • Proceedings – Mathematical Sciences | News

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