How often is Euler's totient a perfect power?

DOI10.1016/j.jnt.2018.10.011zbMath1411.11092OpenAlexW2900738465WikidataQ128988469 ScholiaQ128988469MaRDI QIDQ1634410

Paul Pollack

Publication date: 18 December 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.10.011

zbMATH Keywords

Euler's functionperfect power

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (3)

Multiplicative partitions of numbers with a large squarefree divisor ⋮ Popular subsets for Euler's \(\varphi \)-function ⋮ The distribution of numbers with many ordered factorizations

Cites Work

• There are infinitely many Carmichael numbers
• Power Totients with Almost Primes
• A note on square totients
• Popular values of Euler's function
• On the Distribution of Pseudoprimes
• PRODUCTS OF SHIFTED PRIMES SIMULTANEOUSLY TAKING PERFECT POWER VALUES
• Square values of Euler's function
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