2024/06/14 by Chan, Tsz Ho
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2406.10014
In this article, we derive a few more facts concerning powered numbers in short intervals both unconditionally and conditionally on the abc-conjecture. We make use of sieve method, a polynomial identity, and a recent breakthrough result on density of sets with no k-term arithmetic progression.