Items tagged with riemann-zeta

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so yep pretty self explainatory, i was just wondering why it works when i use the asymptomatic expansion but not the iterated reciprocal substitution code shown in the that help interface for asympt.

``

``

Zeta(1/2+I*y)

Zeta(1/2+I*y)

(1)

subs(y = 1/y, series(subs(y = 1/y, Zeta(1/2+I*y)), y = 0, 6))

Error, (in series/Zeta) unable to compute series

 

asympt(Zeta(1/2+I*y), y, 6)

1+exp(-I*ln(2)*y)+exp(-I*ln(3)*y)+exp(-(2*I)*ln(2)*y)

(2)

``


 

Download MAPLE_IS_FUNNY.mw

Hi!

In a paper due to Borwein

http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P172.pdf

it is shown a (very beautiful) graph of the zeros of a partial sum of the Zeta-Riemann, where he indicates that the plot is "the normalized zeros of the 5th partial sum of the Zeta function". Somebody know how one can plot this with Maple?

Thank you!

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