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Results tagged with riemann-zeta-function
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user 497810
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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What is easier to find, the next prime number or next zero of zeta function?
What is easier to find the function or it's Fourier transform? If your function is spread out then it's easier to find the Fourier transform. If your function is concentrated it's easier to find the f …
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