Independence measures of arithmetic functions

DOI10.1016/j.jnt.2010.06.011zbMath1226.11076OpenAlexW1975625576MaRDI QIDQ607032

Pattira Ruengsinsub, Takao Komatsu, Vichian Laohakosol

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.06.011

zbMATH Keywords

Dirichlet seriesalgebraic dependencearithmetic functionsDirichlet product

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

Derivation of arithmetical functions under the Dirichlet convolution ⋮ Independence of additive, multiplicative, exponential and logarithmic functions ⋮ Applications of differential algebra to algebraic independence of arithmetic functions

Cites Work

• Logarithmic operators and characterizations of completely multiplicative functions
• Operators on algebras of arithmetic functions
• The trigonometry of numbers
• Independence of arithmetic functions
• On algebraic independence of dirichlet series
• Dependence of Arithmetic Functions and Dirichlet Series
• On the convolution ring of arithmetic functions
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