Euler's derivation of Riemann Zeta Function for even integers

Mugged

So Euler derived the analytic expression for the even integers of the Riemann Zeta Function. I was wondering if there is a link to his derivation somewhere?

Also, is there anyone else who used a different method to get the same answer as Euler?

Thank you

*DonAntonio*

Quote by Mugged

So Euler derived the analytic expression for the even integers of the Riemann Zeta Function. I was wondering if there is a link to his derivation somewhere?

Also, is there anyone else who used a different method to get the same answer as Euler?

Thank you

Read here http://www.seriesmathstudy.com/euler...uaredOver6.htm

DonAntonio

Levex

It isn't hard to derive it if you know about Bernoulli numbers.
Follow Euler's argument with a general 2n term.

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Mugged	Euler's derivation of Riemann Zeta Function for even integers So Euler derived the analytic expression for the even integers of the Riemann Zeta Function. I was wondering if there is a link to his derivation somewhere? Also, is there anyone else who used a different method to get the same answer as Euler? Thank you

Levex	It isn't hard to derive it if you know about Bernoulli numbers. Follow Euler's argument with a general 2n term.