On the differential and difference independence of \(\Gamma\) and \(\zeta\)

DOI10.1007/s10473-021-0214-1OpenAlexW3128271837MaRDI QIDQ2154860

Qiong Wang, Wei Chen

Publication date: 15 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-021-0214-1

zbMATH Keywords

Riemann zeta functionalgebraic differential equationsdifference equationsEuler gamma function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (2)

On the algebraic differential independence of \(\Gamma\) and \(\zeta\) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Value distribution of \(L\)-functions
• Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\)
• Differentially transcendental functions
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• On the distribution of nonzero values of the Riemann \(\zeta\)-function
• A study on algebraic differential equations of gamma function and Dirichlet series
• Algebraic differential independence regarding the Riemann \(\boldsymbol{\zeta}\)-function and the Euler \(\boldsymbol{\Gamma}\)-function
• Differential independence of \(\Gamma\) and \(\zeta\)
• Algebraic differential equations concerning the Riemann zeta function and the Euler gamma function
• On algebraic differential properties of the Riemann ζ-function and the Euler Γ-function
• Difference independence of the Riemann zeta function
• On differential independence of the Riemann zeta function and the Euler gamma function
• О функциональной независимости L-функций Дирихле
• On some new properties of the gamma function and the Riemann zeta function
• A generalization of the nielson-holder theorem about Γ(z)
• Mathematical problems
• ON ALGEBRAIC DIFFERENTIAL EQUATIONS FOR THE GAMMA FUNCTION AND -FUNCTIONS IN THE EXTENDED SELBERG CLASS
• The Lang-type of the Riemann zeta-function

This page was built for publication: On the differential and difference independence of \(\Gamma\) and \(\zeta\)