A Tale of Two Cyclicities: Counting in Finite Cyclic Groups and Finite Fields

DOI10.1080/00029890.2022.2069991zbMath1502.11004OpenAlexW4281752262MaRDI QIDQ5094537

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Publication date: 3 August 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2022.2069991

zbMATH Keywords

finite field\(q\)-identitycyclic groupmultiplicative functionsum of divisorsEuler's functionnumber of divisorsinclusion-exclusion principleconvolution identitycanonical lift

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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• Groups of Arithmetical Functions
• Counting Irreducible Polynomials over Finite Fields Using the Inclusion-Exclusion Principle
• Number-Theoretic Functions via Convolution Rings
• On Finite Groups and Finite Fields

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