Euler's derivation of Riemann Zeta Function for even integers

Mugged · Jun 4, 2012

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 · Jun 4, 2012

Mugged said:

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/eulerandPiSquaredOver6.htm

DonAntonio

Levex · Jun 11, 2012

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

Euler's derivation of Riemann Zeta Function for even integers

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