Factors of a perfect square

Tsz Ho Chan. "Factors of a perfect square." Acta Arithmetica 163.2 (2014): 141-143. <http://eudml.org/doc/279082>.

@article{TszHoChan2014,
abstract = {We consider a conjecture of Erdős and Rosenfeld and a conjecture of Ruzsa when the number is a perfect square. In particular, we show that every perfect square n can have at most five divisors between $√n - ∜n(log n)^\{1/7\}$ and $√n + ∜n(log n)^\{1/7\}$.},
author = {Tsz Ho Chan},
journal = {Acta Arithmetica},
keywords = {divisor; perfect square; simultaneous Pell equations},
language = {eng},
number = {2},
pages = {141-143},
title = {Factors of a perfect square},
url = {http://eudml.org/doc/279082},
volume = {163},
year = {2014},
}

TY - JOUR
AU - Tsz Ho Chan
TI - Factors of a perfect square
JO - Acta Arithmetica
PY - 2014
VL - 163
IS - 2
SP - 141
EP - 143
AB - We consider a conjecture of Erdős and Rosenfeld and a conjecture of Ruzsa when the number is a perfect square. In particular, we show that every perfect square n can have at most five divisors between $√n - ∜n(log n)^{1/7}$ and $√n + ∜n(log n)^{1/7}$.
LA - eng
KW - divisor; perfect square; simultaneous Pell equations
UR - http://eudml.org/doc/279082
ER -