Note on Malmst\`en's paper De Integralibus quibusdam definitis seriebusque infinitis

Abstract

We present a proof of the functional equation of the Riemann zeta-function or more precisely the Dirichlet eta-function, which proof seems to be new but follows almost immediately from Malmst\`en's paper ``De integralibus quibusdam definitis seriebusque infinitis``

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