Mathlean · Online math workspace

Dirichlet L-function calculator

Evaluate an L-function associated with a Dirichlet character.

How to use this calculator

Edit DirichletL(modulus,character index,s). The starter with modulus and index 1 is zeta(2).

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

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

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

What to know

The principal character has a pole at s=1. Character indexing and complex branches matter.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

Browse all calculators and editors