• Fluctuations in the mean of Euler’s phi function

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    • 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

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      Posted on July 25, 2019

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