| 1. | For pure imaginary arguments, we have: Li s ( ± i ) = − 2 − s η ( s ) ± i β ( s ) , {\displaystyle \operatorname {Li} _{s}(\pm i)=-2^{-s}\,\eta (s)\pm i\,\beta (s)\,,} where β(s) is the Dirichlet beta function.
Pour des arguments imaginaires purs, nous avons : Li s ( ± i ) = 2 − s η ( s ) ± i β ( s ) |
