3 papers
math.NT2025
Numbers with three close factorizations and central lattice points on hyperbolas
Tsz Ho Chan
In this paper, we continue the study of three close factorizations of an integer and correct a mistake of a previous result. This turns out to be related to lattice points close to…
math.NT2025
Close points on a modular hyperbola
Tsz Ho Chan
In this paper, we continue the study of small squares containing at least two points on a modular hyperbola . We deduce a lower bound for its side length. We…
math.NT2025
Almost cubes and fourth powers in short intervals
Tsz Ho Chan
In this paper, we study how short an interval contains an integer of the form and with and $m_1 \approx…