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±1.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 471-479 |
| Number of pages | 9 |
| Journal | Proceedings of the Indian Academy of Sciences: Mathematical Sciences |
| Volume | 124 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 2014 |
Keywords
- Dirichlet L-functions
- Irrational factor function
- Races
ASJC Scopus subject areas
- General Mathematics