On algebraic independence of dirichlet series

DOI10.1002/cpa.3160390602zbMath0605.30003OpenAlexW2113847673MaRDI QIDQ3743553

Gerson H. Sparer, Harold N. Shapiro

Publication date: 1986

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160390602

zbMATH Keywords

Dirichlet seriesalgebraic independence

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Algebraic independence; Gel'fond's method (11J85) Other Dirichlet series and zeta functions (11M41) Differential algebra (12H05)

Related Items (5)

Ramanujan sums via generalized Möbius functions and applications ⋮ Independence measures of arithmetic functions ⋮ Dependence of Arithmetic Functions and Dirichlet Series ⋮ Independence of additive, multiplicative, exponential and logarithmic functions ⋮ Applications of differential algebra to algebraic independence of arithmetic functions

Cites Work

• The ring of number-theoretic functions
• Generalized convolution ring of arithmetic functions
• Rings of arithmetic functions

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