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math.HO2026
Riemann and the logarithmic derivatives of zeta
J. Arias de Reyna
In one of his posthumous papers, conserved in Göttingen, Riemann considers the derivatives of at the point , giving explicit values for them. Around 2010 we shared…
math.HO2024
Riemann's auxiliary Function. Basic Results
J. Arias de Reyna
We give the definition, main properties and integral expressions of the auxiliary function of Riemann . For example we prove $$π^{-s/2}Γ(s/2)\mathop{\mathc…