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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/124/04/0471-0479

    • 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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