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This notation follows [[Bernhard Riemann|Riemann]] and [[David Mumford|Mumford]]; [[Carl Gustav Jacobi|Jacobi]]'s original f ==Relation to the Riemann zeta function== ...

...cterisation by {{harvs|txt|authorlink=Bernhard Riemann|first=Bernhard|last=Riemann|year=1857}} of the hypergeometric function by means of the differential equ ...b>(''z''), examined in the complex plane, could be characterised (on the [[Riemann sphere]]) by its three [[regular singularity|regular singularities]]. ...

| image = File:Riemann-Zeta-Func.png | caption = The Riemann zeta function {{math|''ζ''(''z'')}} plotted with [[domain coloring]].<ref>{ ...

...echnical, but can be accomplished by using some identities involving the [[Riemann zeta function]] (see [[Euler-Mascheroni constant#Relation to the zeta funct where <math>\zeta(z)</math> is the [[Riemann zeta function]], and <math>\pi</math> is a [[Partition (number theory)|part ...