Geodesic
On the Distance Between Consecutive Divisors of an Integer
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 208-217

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Let ω(n) denote the number of distinct prime divisors of a positive integer n. Then we define and where are primes and r ≥ 2. Similarly denote by the number of divisors of n and let be defined by where are the divisors of n. We prove that there exists constants A and B such that and
DOI : 10.4153/CMB-1986-034-7
Mots-clés : Primary 10H25, Secondary 10H32 
Koninck, Jean-Marie de; Ivić, Aleksandar. On the Distance Between Consecutive Divisors of an Integer. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 208-217. doi: 10.4153/CMB-1986-034-7
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     title = {On the {Distance} {Between} {Consecutive} {Divisors} of an {Integer}},
     journal = {Canadian mathematical bulletin},
     pages = {208--217},
     year = {1986},
     volume = {29},
     number = {2},
     doi = {10.4153/CMB-1986-034-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-034-7/}
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