ComputeL

ComputeL - Computing special values of L-functions. ComputeL is a pari package to compute special values of L-functions and their derivatives numerically to high accuracy. It is specifically designed to work with L-functions of motivic origin with an arbitrary number of Gamma-factors, not necessarily distinct. Current version 1.2 is implemented as a pari script. As an illustration, it includes examples of computations with Riemann zeta-function; Dirichlet L-functions of Dirichlet characters and Dedekind zeta-function of a number field; L-functions associated to (H1 of) curves of genus 1, 2, 3 and 4 over Q, in particular, Birch-Swinnerton-Dyer conjecture for the Buhler-Gross-Zagier elliptic curve of Mordell-Weil rank 3. L-functions associated to modular forms and Shintani’s zeta-function