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August 24th, 2019, 03:16 AM   #1
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Limit with zeta function

Evaluate $\displaystyle \lim_{s\rightarrow \infty } \zeta(s)\cdot \zeta(2s)\cdot \zeta(3s)\cdot ...\cdot \zeta(s^2 ) $.

Last edited by idontknow; August 24th, 2019 at 03:23 AM.
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August 24th, 2019, 12:26 PM   #2
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this is equal to 1 since $\displaystyle \zeta (s) \sim 1 $
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