Mathlean · Online math workspace
Lerch transcendent calculator
Evaluate the Lerch transcendent that generalizes several zeta and polylogarithm functions.
How to use this calculator
Edit LerchPhi(z,s,a); the starter uses z=0.5, s=2 and a=1.
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
Interactive tools require JavaScript. You can read the guide and example without it.
What to know
The defining series does not converge for every argument. Singularities and continuation branches require care.
Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.