Waste less time on Facebook — follow Brilliant.

Can you figure these out?

Find formulas for





in terms of the zeta function.

Hint:Firstly, assume that \(\zeta(0)\),\(\zeta(1)\) and \(\zeta(-1)\) have a finite value and use it.Also, use that


and put b(n)=1.

I leave the rest to you.You can attain some pretty interesting results here.

Note by Bogdan Simeonov
3 years, 5 months ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...