Dependence of Arithmetic Functions and Dirichlet Series

DOI10.2307/2159209zbMath0762.11001OpenAlexW4245850101MaRDI QIDQ4013473

Vichian Laohakosol

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159209

zbMATH Keywords

Dirichlet seriesalgebraic independencearithmetic functionsmeasures of differential transcendence

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Other Dirichlet series and zeta functions (11M41) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

Independence measures of arithmetic functions ⋮ Interacting Bose gas, the logistic law, and complex networks

Cites Work

• The ring of number-theoretic functions
• Introduction to arithmetical functions
• The algebraic independence of arithmetic functions. I: Multiplicative functions
• Algebraic independence of certain arithmetic functions
• Independence of arithmetic functions
• On algebraic independence of dirichlet series
• On the convolution ring of arithmetic functions
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