• Fluctuations in the mean of Euler’s phi function

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0239-0245

    • Keywords

       

      Euler’s phi function; fluctuations; mean value estimate

    • Abstract

       

      We consider the error term in the mean value estimate of Euler’s phi function ψ(n), and show that it is Ω+- (x(log log x)1/2). This improves on the earlier results of Pillai and Chowla, and of Erdös and Shapiro.

    • Author Affiliations

       

      Hugh L Montgomery1

      1. Department of Mathematics, University of Michigan, Ann Arbor, MI - 48109, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

© 2017-2019 Indian Academy of Sciences, Bengaluru.