The algebraic independence of the sum of divisors functions

DOI10.1016/J.JNT.2010.03.022zbMath1214.11011OpenAlexW2041620078MaRDI QIDQ710497

Daniel Lustig

Publication date: 19 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.03.022

zbMATH Keywords

perfect numberssum of divisorsalgebraic independence

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (1)

Exact Formulas for the Generalized Sum-of-Divisors Functions

Cites Work

• The algebraic independence of arithmetic functions. I: Multiplicative functions
• Conditions Equivalent to the Existence of Odd Perfect Numbers
• Improved Techniques for Lower Bounds for Odd Perfect Numbers

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