An Euler phi function for the Eisenstein integers and some applications

zbMath1434.11012arXiv1902.03483MaRDI QIDQ5109329

Aba Mbirika, Emily Gullerud

Publication date: 11 May 2020

Full work available at URL: https://arxiv.org/abs/1902.03483

zbMATH Keywords

Eisenstein integersEuler phi function

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Sur l'équation \(\varphi (x) = m\)
• Euler's equation \(\phi (x)=k\) with no solution
• On nontotients
• The Euler φ-Function in the Gaussian Integers

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