On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function

DOI10.1080/17476933.2021.1931849zbMath1498.11182arXiv2005.02707OpenAlexW3179694098WikidataQ114098025 ScholiaQ114098025MaRDI QIDQ5102321

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Publication date: 6 September 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02707

zbMATH Keywords

Riemann zeta-functionalgebraic differential equationEuler gamma-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Differential algebra (12H05) 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)

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Cites Work

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• Value distribution of \(L\)-functions
• Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\)
• On the distribution of nonzero values of the Riemann \(\zeta\)-function
• A note on Hölder's theorem concerning the Gamma function
• The Nevanlinna functions of the Riemann zeta-function
• Differential independence of \(\Gamma\) and \(\zeta\)
• Algebraic differential equations concerning the Riemann zeta function and the Euler gamma function
• Difference independence of the Riemann zeta function
• On differential independence of the Riemann zeta function and the Euler gamma function
• On some new properties of the gamma function and the Riemann zeta function

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