On the algebraic difference independence of Γ and ζ

On the algebraic difference independence of Γ and ζ

The paper concerns the problem on algebraic difference independence of two functions which come from two different sets G and F, respectively. The first set contains the gamma function and the other set contains Riemann zeta function. Meanwhile, a result is obtained which generalizes a theorem of Li...

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-10, Vol.538 (2), p.128446, Article 128446
1. Verfasser: Lü, Feng
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic difference equation
Riemann zeta function
The gamma function
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Zusammenfassung:The paper concerns the problem on algebraic difference independence of two functions which come from two different sets G and F, respectively. The first set contains the gamma function and the other set contains Riemann zeta function. Meanwhile, a result is obtained which generalizes a theorem of Li-Tahir-Gao in [22] from the gamma function to the function in G.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2024.128446