## Tsukuba Journal of Mathematics

### A formula for the Hurwitz zeta function, Riemann's functional equation and certain integral representations

#### 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.

#### Article information

Source
Tsukuba J. Math., Volume 42, Number 2 (2018), 309-334.

Dates
First available in Project Euclid: 2 April 2019

https://projecteuclid.org/euclid.tkbjm/1554170427

Digital Object Identifier
doi:10.21099/tkbjm/1554170427

Mathematical Reviews number (MathSciNet)
MR3934993

Zentralblatt MATH identifier
07055235

#### Citation

Kachi, Yasuyuki; Tzermias, Pavlos. A formula for the Hurwitz zeta function, Riemann's functional equation and certain integral representations. Tsukuba J. Math. 42 (2018), no. 2, 309--334. doi:10.21099/tkbjm/1554170427. https://projecteuclid.org/euclid.tkbjm/1554170427