Geodesic
Factors of a perfect square
Tsz Ho Chan1
1 Department of Arts and Sciences Victory University 255 N. Highland Street Memphis, TN 38111, U.S.A.
Acta Arithmetica, Tome 163 (2014) no. 2, pp. 141-143.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\sqrt{n} - \sqrt[4]{n}\,(\log n)^{1/7}$ and $\sqrt{n} + \sqrt[4]{n}\,(\log n)^{1/7}$.
DOI : 10.4064/aa163-2-4
Keywords: consider conjecture erd rosenfeld conjecture ruzsa number perfect square particular every perfect square have five divisors between sqrt sqrt log sqrt sqrt log

Tsz Ho Chan 1

1 Department of Arts and Sciences Victory University 255 N. Highland Street Memphis, TN 38111, U.S.A. 
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Tsz Ho Chan. Factors of a perfect square. Acta Arithmetica, Tome 163 (2014) no. 2, pp. 141-143. doi : 10.4064/aa163-2-4. http://geodesic.mathdoc.fr/articles/10.4064/aa163-2-4/

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