Factors of a perfect square
Tsz Ho Chan
Acta Arithmetica, Tome 166 (2014), p. 141-143 / Harvested from The Polish Digital Mathematics Library
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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(logn)1/7 and √n+∜n(logn)1/7.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279082 
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     title = {Factors of a perfect square},
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     volume = {166},
     year = {2014},
     pages = {141-143},
     zbl = {1300.11012},
     language = {en},
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Tsz Ho Chan. Factors of a perfect square. Acta Arithmetica, Tome 166 (2014) pp. 141-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa163-2-4/