On large values of the divisor function

Authors
Erdos, P Nicolas, JL Sarkozy, A
Citation
P. Erdos et al., On large values of the divisor function, RAMANUJAN J, 2(1-2), 1998, pp. 225-245
Citations number
19
Categorie Soggetti
Mathematics
Journal title
RAMANUJAN JOURNAL
ISSN journal
13824090 → ACNP
Volume
2
Issue
1-2
Year of publication
1998
Pages
225 - 245
Database
ISI
SICI code
1382-4090(1998)2:1-2<225:OLVOTD>2.0.ZU;2-Z
Abstract
Let d(n) denote the divisor function, and let D(X) denote the maximal value of d(n) for n less than or equal to X. For 0 < z less than or equal to 1, both lower and upper bounds are given for the number of integers n with n l ess than or equal to X, zD(X) less than or equal to d(n).