Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series

DOI10.1007/s10473-020-0411-3zbMath1499.11281OpenAlexW3034105594MaRDI QIDQ2153549

Qiong Wang, Wei Chen

Publication date: 5 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/s10473-020-0411-3

zbMATH Keywords

gamma functionalgebraic differential equationsalgebraic differential independence\(\mathcal{L}\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Meromorphic functions of one complex variable (general theory) (30D30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (1)

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

Cites Work

• Value distribution of \(L\)-functions
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• Mathematical problems
• ON ALGEBRAIC DIFFERENTIAL EQUATIONS FOR THE GAMMA FUNCTION AND -FUNCTIONS IN THE EXTENDED SELBERG CLASS
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