On the algebraic differential independence of Γ and ζ

被引：0

作者：

Lu, Feng ^{[1
]}

Jiang, Shuxin ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 01期

关键词：

Riemann zeta function; The gamma function; Algebraic differential equation; HOLDER'S THEOREM; EQUATIONS;

D O I：

10.1007/s00605-023-01858-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper concerns the problem of algebraic differential independence between Riemann zeta function and functions in a certain class F, which contains the gamma function and some exponential functions. It is proved that Riemann zeta function and the functions in F cannot satisfy a class of nontrivial algebraic differential equations.

引用

页码：141 / 159

页数：19

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