Tagged Questions
1
vote
0answers
267 views
An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
I think, here, I found
$$
P_\color{red}x(\color{blue}s)=\sum_{p<\color{red}x} \frac{1}{p^{\color{blue}s}} =\sum_{\color{green}n=1}^{\infty}\frac{ \mu (\color{green}n)}{\color{green}n}
...
3
votes
2answers
344 views
Modern formula for calculating Riemann Zeta Function [duplicate]
Possible Duplicate:
How to evaluate Riemann Zeta function
I have an amateur interest in the Zeta Function. I have read Edward's book on the topic, which is perhaps a little dated. I would ...
0
votes
0answers
48 views
Riemann Siegel formula modification?
$$Z(t)= \sum_{n=1}^{\lfloor\sqrt t/2\pi\rfloor }\frac{\cos(N(t)-t\log p_{n})}{\sqrt n}$$
here $N(t)$ is the smooth part of the zeros and $ p_{n} $ are the primes since $ p_{n} =n\log n $ then $ \log ...
