On large values of the divisor function

P. Erdós, J. L. Nicolas, A. Sárközy

Research output: Article


Let d(n) denote the divisor function, and let D(X) denote the maximal value of d(n) for n ≤ X. For 0 < z ≤ 1, both lower and upper bounds are given for the number of integers n with n ≤ X, zD(X) ≤ d(n).

Original languageEnglish
Pages (from-to)225-245
Number of pages21
JournalRamanujan Journal
Issue number1-2
Publication statusPublished - dec. 1 1998


ASJC Scopus subject areas

  • Algebra and Number Theory

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