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Dirichlet beta calculator

Evaluate the alternating series over odd reciprocal powers.

How to use this calculator

Replace the argument of DirichletBeta; its value at 1 is pi/4.

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

DirichletBeta⁡(1)\operatorname{DirichletBeta}\left(1\right)

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

What to know

This is not Euler's two-argument beta function.

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