Algebraic differential equations concerning the Riemann zeta function and the Euler gamma function
Bao LiZhuan Ye
33B1512H0530D3534M15Riemann zeta functionEuler gamma functionalgebraic differential equation
We prove that the Riemann zeta-function is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in $\Gamma$, $\Gamma'$ and $\Gamma''$ over the field of complex numbers.
Indiana University Mathematics Journal
2010
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10.1512/iumj.2010.59.3986
10.1512/iumj.2010.59.3986
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Indiana Univ. Math. J. 59 (2010) 1405 - 1416
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