Abstract
We investigate the density of square-free values of polynomials with large coefficients over the rational function field q[t]. Some interesting questions answered as special cases of our results include the density of square-free polynomials in short intervals, and an asymptotic for the number of representations of a large polynomial N as a sum of a k-th power of a small polynomial and a square-free polynomial.
Original language | English |
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Pages (from-to) | 247-263 |
Number of pages | 17 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume | 170 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2021 |
Keywords
- 2010 Mathematics Subject Classification: 11N25 11N32 11N36 11R58 14H05
All Science Journal Classification (ASJC) codes
- General Mathematics