Zeta 1000!

Calculus Level 2

The zeta function is a function of complex argument defined as: ζ ( s ) : = ∑ n = 1 ∞ 1 n s . \zeta(s):=\sum_{n=1}^\infty \dfrac1{n^s}. What is ζ ( 1000 ) \zeta(1000) equal to?


The answer is 1.

حكيم الفيلسوف الضائع by حكيم الفيلسوف الضائع , 35, Morocco

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1 solution

Raven Herd
Jan 31, 2016

for all x>>1 , it's zeta function is just equal to 1.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

But why is it so?

Bloons Qoth - 4 years, 9 months ago

1 pending report

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