• Irrational factor races

• Fulltext

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

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

• Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019