Browsing by Subject "functional equation"
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Vanishing of the integral of the Hurwitz zeta function
(Australian Mathematical Society, 2002)A proof is given that the improper Riemann integral of δ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with R(s) < 1. The integral does not exist (as a finite real ...