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    • Keywords


      Irrational factor function; races; Dirichlet 𝐿-functions.

    • Abstract


      We investigate the behavior of the sum of the irrational factor function over arithmetic progressions. We first establish a general asymptotic formula for such a sum, and then obtain some further results in the case of arithmetic progressions $3n\pm 1$.

    • Author Affiliations


      Sneha Chaubey1 Milenda Lanius1 Alexandru Zaharescu1

      1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA.
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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