Values of arithmetical functions equal to a sum of two squares

William D. Banks*, Florian Luca, Filip Saidak, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Let φ(n) denote the Euler function. In this paper, we determine the order of growth for the number of positive integers n ≤ x for which φ(n) is the sum of two square numbers. We also obtain similar results for the Dedekind function ψ(n) and the sum of divisors function σ(n).

Original languageEnglish
Pages (from-to)123-139
Number of pages17
JournalQuarterly Journal of Mathematics
Volume56
Issue number2
DOIs
Publication statusPublished - 2005

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