Abstract
There is a well-known formula for the Hurwitz zeta function which implies the functional equation for the Riemann zeta function. We give a new proof of that formula and recover certain integral representations for the Hurwitz and Riemann zeta functions.
Citation
Yasuyuki Kachi. Pavlos Tzermias. "A formula for the Hurwitz zeta function, Riemann's functional equation and certain integral representations." Tsukuba J. Math. 42 (2) 309 - 334, December 2018. https://doi.org/10.21099/tkbjm/1554170427
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