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Results tagged with riemann-zeta-function
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user 120193
The Riemann zeta function is the function of one complex variable $s$ defined by the series $\zeta(s) = \sum_{n \geq 1} \frac{1}{n^s}$ when $\operatorname{Re}(s)>1$. It admits a meromorphic continuation to $\mathbb{C}$ with only a simple pole at $1$. This function satisfies a functional equation relating the values at $s$ and $1-s$. This is the most simple example of an $L$-function and a central object of number theory.
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Seek a reference for Theorem 1.2 on p. 6 of the Riemann Hypothesis sourcebook of Borwein et. al
About your reason for asking. See https://doi.org/10.1215/00277630-1260423, https://projecteuclid.org/euclid.nmj/1306851587 or the arxiv version https://arxiv.org/pdf/0906.1029.pdf where such things a …
