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Hurwitz zeta calculator

Evaluate the two-argument generalization of the Riemann zeta function.

How to use this calculator

Edit HurwitzZeta(s,a). At (2,1) it equals the ordinary zeta value pi squared over 6.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

HurwitzZeta⁡(2,1)\operatorname{HurwitzZeta}\left(2,1\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Singular parameters and analytic continuation require care; a formal series does not converge everywhere.

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