ON ALGEBRAIC DIFFERENTIAL EQUATIONS FOR THE GAMMA FUNCTION AND -FUNCTIONS IN THE EXTENDED SELBERG CLASS

DOI10.1017/S000497271700020XzbMath1391.11109OpenAlexW2597257037MaRDI QIDQ4975591

Feng Lü

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271700020x

zbMATH Keywords

gamma functionRiemann zeta function\(L\)-functionalgebraic differential independence

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 (3)

Algebraic differential independence concerning the Euler \(\Gamma\)-function and Dirichlet series ⋮ On the differential and difference independence of \(\Gamma\) and \(\zeta\) ⋮ On the algebraic differential independence of \(\Gamma\) and \(\zeta\)

Cites Work

• Unnamed Item
• Value distribution of \(L\)-functions
• Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\)
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• 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

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